Search a number
-
+
2157960504 = 23374326947
BaseRepresentation
bin1000000010011111…
…1101110100111000
312120101120202022010
42000213331310320
513404414214004
6554044325520
7104322235020
oct20047756470
95511522263
102157960504
11a08126737
125028438a0
1328510270b
14166856a80
15c96b5a89
hex809fdd38

2157960504 has 96 divisors (see below), whose sum is σ = 6313230720. Its totient is φ = 602134848.

The previous prime is 2157960463. The next prime is 2157960559. The reversal of 2157960504 is 4050697512.

2157960504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307159 + ... + 314105.

It is an arithmetic number, because the mean of its divisors is an integer number (65762820).

Almost surely, 22157960504 is an apocalyptic number.

2157960504 is a gapful number since it is divisible by the number (24) 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 2157960504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156615360).

2157960504 is an abundant number, since it is smaller than the sum of its proper divisors (4155270216).

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

2157960504 is a wasteful number, since it uses less digits than its factorization.

2157960504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2157960504 is about 46453.8534892424. The cubic root of 2157960504 is about 1292.2538376672.

The spelling of 2157960504 in words is "two billion, one hundred fifty-seven million, nine hundred sixty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 1849 2408 3612 3698 5547 6947 7224 7396 11094 12943 13894 14792 20841 22188 25886 27788 38829 41682 44376 48629 51772 55576 77658 83364 97258 103544 145887 155316 166728 194516 291774 298721 310632 389032 583548 597442 896163 1167096 1194884 1792326 2091047 2389768 3584652 4182094 6273141 7169304 8364188 12546282 12845003 16728376 25092564 25690006 38535009 50185128 51380012 77070018 89915021 102760024 154140036 179830042 269745063 308280072 359660084 539490126 719320168 1078980252 2157960504