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2137104040 = 235193190709
BaseRepresentation
bin111111101100001…
…1001111010101000
312111221100010121111
41333120121322220
513334044312130
6552021320104
7103650041011
oct17730317250
95457303544
102137104040
119a7380995
124b7866034
132809ac506
14163b88008
15c794602a
hex7f619ea8

2137104040 has 64 divisors (see below), whose sum is σ = 5224896000. Its totient is φ = 783717120.

The previous prime is 2137104023. The next prime is 2137104083. The reversal of 2137104040 is 404017312.

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, 21795 + ... + 68914.

It is an arithmetic number, because the mean of its divisors is an integer number (81639000).

Almost surely, 22137104040 is an apocalyptic number.

2137104040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137104040 is an abundant number, since it is smaller than the sum of its proper divisors (3087791960).

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

2137104040 is a wasteful number, since it uses less digits than its factorization.

2137104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90770 (or 90766 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2137104040 is about 46228.8226110075. The cubic root of 2137104040 is about 1288.0771866478.

The spelling of 2137104040 in words is "two billion, one hundred thirty-seven million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 23560 90709 181418 362836 453545 725672 907090 1723471 1814180 2811979 3446942 3628360 5623958 6893884 8617355 11247916 13787768 14059895 17234710 22495832 28119790 34469420 53427601 56239580 68938840 106855202 112479160 213710404 267138005 427420808 534276010 1068552020 2137104040