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2133443040 = 253510741539
BaseRepresentation
bin111111100101001…
…1100000111100000
312111200110010122220
41333022130013200
513332130134130
6551411031040
7103603652361
oct17712340740
95450403586
102133443040
119a5300373
124b659b480
1327ccca041
141634b3b68
15c7471410
hex7f29c1e0

2133443040 has 96 divisors (see below), whose sum is σ = 6783315840. Its totient is φ = 563587584.

The previous prime is 2133443021. The next prime is 2133443041. The reversal of 2133443040 is 403443312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2133443040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133443041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30591 + ... + 72129.

It is an arithmetic number, because the mean of its divisors is an integer number (70659540).

Almost surely, 22133443040 is an apocalyptic number.

2133443040 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 2133443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391657920).

2133443040 is an abundant number, since it is smaller than the sum of its proper divisors (4649872800).

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

2133443040 is a wasteful number, since it uses less digits than its factorization.

2133443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41664 (or 41656 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2133443040 is about 46189.2091294060. The cubic root of 2133443040 is about 1287.3412458922.

Adding to 2133443040 its reverse (403443312), we get a palindrome (2536886352).

The spelling of 2133443040 in words is "two billion, one hundred thirty-three million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 25680 41539 51360 83078 124617 166156 207695 249234 332312 415390 498468 623085 664624 830780 996936 1246170 1329248 1661560 1993872 2492340 3323120 3987744 4444673 4984680 6646240 8889346 9969360 13334019 17778692 19938720 22223365 26668038 35557384 44446730 53336076 66670095 71114768 88893460 106672152 133340190 142229536 177786920 213344304 266680380 355573840 426688608 533360760 711147680 1066721520 2133443040