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2125738160 = 245713291997
BaseRepresentation
bin111111010110100…
…0011000010110000
312111010221200112222
41332231003002300
513323142110120
6550533540212
7103451322230
oct17655030260
95433850488
102125738160
119a0a185a7
124b3aa4668
1327b530040
14162469cc0
15c694d525
hex7eb430b0

2125738160 has 80 divisors (see below), whose sum is σ = 6082902336. Its totient is φ = 672758784.

The previous prime is 2125738159. The next prime is 2125738189. The reversal of 2125738160 is 618375212.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2125738160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138719 + ... + 153278.

Almost surely, 22125738160 is an apocalyptic number.

2125738160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125738160 is an abundant number, since it is smaller than the sum of its proper divisors (3957164176).

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

2125738160 is a wasteful number, since it uses less digits than its factorization.

2125738160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292030 (or 292024 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2125738160 is about 46105.7280606217. The cubic root of 2125738160 is about 1285.7896421911.

The spelling of 2125738160 in words is "two billion, one hundred twenty-five million, seven hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 291997 583994 1167988 1459985 2043979 2335976 2919970 3795961 4087958 4671952 5839940 7591922 8175916 10219895 11679880 15183844 16351832 18979805 20439790 23359760 26571727 30367688 32703664 37959610 40879580 53143454 60735376 75919220 81759160 106286908 132858635 151838440 163518320 212573816 265717270 303676880 425147632 531434540 1062869080 2125738160