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2125372160 = 2858591933
BaseRepresentation
bin111111010101110…
…1001101100000000
312111010021002111102
41332223221230000
513323043402120
6550522033532
7103445236202
oct17653515400
95433232442
102125372160
119a079861a
124b39488a8
1327b432582
141623b2772
15c68c9d75
hex7eae9b00

2125372160 has 72 divisors (see below), whose sum is σ = 5099493840. Its totient is φ = 848719872.

The previous prime is 2125372111. The next prime is 2125372211. The reversal of 2125372160 is 612735212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098554 + ... + 1100486.

Almost surely, 22125372160 is an apocalyptic number.

2125372160 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 2125372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549746920).

2125372160 is an abundant number, since it is smaller than the sum of its proper divisors (2974121680).

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

2125372160 is an equidigital number, since it uses as much as digits as its factorization.

2125372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2125372160 is about 46101.7587517006. The cubic root of 2125372160 is about 1285.7158441369.

The spelling of 2125372160 in words is "two billion, one hundred twenty-five million, three hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 859 1280 1718 1933 3436 3866 4295 6872 7732 8590 9665 13744 15464 17180 19330 27488 30928 34360 38660 54976 61856 68720 77320 109952 123712 137440 154640 219904 247424 274880 309280 494848 549760 618560 1099520 1237120 1660447 2474240 3320894 6641788 8302235 13283576 16604470 26567152 33208940 53134304 66417880 106268608 132835760 212537216 265671520 425074432 531343040 1062686080 2125372160