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2137455730 = 2517192291201
BaseRepresentation
bin111111101100110…
…1111110001110010
312111222000000001001
41333121233301302
513334142040410
6552033032214
7103653034234
oct17731576162
95458000031
102137455730
119a75a1143
124b79b566a
13280aa3607
14163c3a254
15c79b533a
hex7f66fc72

2137455730 has 96 divisors (see below), whose sum is σ = 4451390640. Its totient is φ = 735436800.

The previous prime is 2137455703. The next prime is 2137455743. The reversal of 2137455730 is 375547312.

It can be written as a sum of positive squares in 8 ways, for example, as 495018001 + 1642437729 = 22249^2 + 40527^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2137455730.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779130 + ... + 1780330.

Almost surely, 22137455730 is an apocalyptic number.

2137455730 is an abundant number, since it is smaller than the sum of its proper divisors (2313934910).

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

2137455730 is a wasteful number, since it uses less digits than its factorization.

2137455730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 2137455730 is about 46232.6262503008. The cubic root of 2137455730 is about 1288.1478397388.

The spelling of 2137455730 in words is "two billion, one hundred thirty-seven million, four hundred fifty-five thousand, seven hundred thirty".

Divisors: 1 2 5 10 17 19 29 34 38 58 85 95 145 170 190 290 323 361 493 551 646 722 986 1102 1201 1615 1805 2402 2465 2755 3230 3610 4930 5510 6005 6137 9367 10469 12010 12274 18734 20417 20938 22819 30685 34829 40834 45638 46835 52345 61370 69658 93670 102085 104690 114095 174145 177973 204170 228190 348290 355946 387923 433561 592093 661751 775846 867122 889865 1184186 1323502 1779730 1939615 2167805 2960465 3308755 3879230 4335610 5920930 6617510 7370537 11249767 12573269 14741074 22499534 25146538 36852685 56248835 62866345 73705370 112497670 125732690 213745573 427491146 1068727865 2137455730