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2043401040 = 243352513769
BaseRepresentation
bin111100111001011…
…1101001101010000
312021102000112021000
41321302331031100
513141102313130
6534433102000
7101431423302
oct17162751520
95242015230
102043401040
119594a049a
124903b7900
13267461c55
14155555972
15be5d7260
hex79cbd350

2043401040 has 160 divisors (see below), whose sum is σ = 7068297600. Its totient is φ = 542592000.

The previous prime is 2043401021. The next prime is 2043401047. The reversal of 2043401040 is 401043402.

It is a super-5 number, since 5×20434010405 (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043401047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540276 + ... + 544044.

It is an arithmetic number, because the mean of its divisors is an integer number (44176860).

Almost surely, 22043401040 is an apocalyptic number.

2043401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534148800).

2043401040 is an abundant number, since it is smaller than the sum of its proper divisors (5024896560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2043401040 is a wasteful number, since it uses less digits than its factorization.

2043401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2043401040 is about 45203.9936288820. The cubic root of 2043401040 is about 1268.9695570272.

Adding to 2043401040 its reverse (401043402), we get a palindrome (2444444442).

The spelling of 2043401040 in words is "two billion, forty-three million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 251 270 360 432 502 540 720 753 1004 1080 1255 1506 2008 2160 2259 2510 3012 3765 3769 4016 4518 5020 6024 6777 7530 7538 9036 10040 11295 11307 12048 13554 15060 15076 18072 18845 20080 22590 22614 27108 30120 30152 33885 33921 36144 37690 45180 45228 54216 56535 60240 60304 67770 67842 75380 90360 90456 101763 108432 113070 135540 135684 150760 169605 180720 180912 203526 226140 271080 271368 301520 339210 407052 452280 508815 542160 542736 678420 814104 904560 946019 1017630 1356840 1628208 1892038 2035260 2713680 2838057 3784076 4070520 4730095 5676114 7568152 8141040 8514171 9460190 11352228 14190285 15136304 17028342 18920380 22704456 25542513 28380570 34056684 37840760 42570855 45408912 51085026 56761140 68113368 75681520 85141710 102170052 113522280 127712565 136226736 170283420 204340104 227044560 255425130 340566840 408680208 510850260 681133680 1021700520 2043401040