Search a number
-
+
2043412240 = 245173833923
BaseRepresentation
bin111100111001011…
…1111111100010000
312021102001002121211
41321302333330100
513141103142430
6534433225504
7101431501042
oct17162777420
95242032554
102043412240
119594a8951
12490402294
1326746708c
14155559a92
15be5da72a
hex79cbff10

2043412240 has 80 divisors (see below), whose sum is σ = 5044819968. Its totient is φ = 767080448.

The previous prime is 2043412193. The next prime is 2043412271. The reversal of 2043412240 is 422143402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518919 + ... + 522841.

Almost surely, 22043412240 is an apocalyptic number.

2043412240 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 2043412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522409984).

2043412240 is an abundant number, since it is smaller than the sum of its proper divisors (3001407728).

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

2043412240 is a wasteful number, since it uses less digits than its factorization.

2043412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2043412240 is about 45204.1175115719. The cubic root of 2043412240 is about 1268.9718754550.

Adding to 2043412240 its reverse (422143402), we get a palindrome (2465555642).

The spelling of 2043412240 in words is "two billion, forty-three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 383 680 766 1360 1532 1915 3064 3830 3923 6128 6511 7660 7846 13022 15320 15692 19615 26044 30640 31384 32555 39230 52088 62768 65110 66691 78460 104176 130220 133382 156920 260440 266764 313840 333455 520880 533528 666910 1067056 1333820 1502509 2667640 3005018 5335280 6010036 7512545 12020072 15025090 24040144 25542653 30050180 51085306 60100360 102170612 120200720 127713265 204341224 255426530 408682448 510853060 1021706120 2043412240