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2137893720 = 2335149119569
BaseRepresentation
bin111111101101101…
…1010101101011000
312111222211020211220
41333123122231120
513334300044340
6552050252040
7103656540204
oct17733325530
95458736756
102137893720
119a7870216
124b7b87020
13280bc7a91
14163d11b04
15c7a4eed0
hex7f6dab58

2137893720 has 64 divisors (see below), whose sum is σ = 6456780000. Its totient is φ = 566274048.

The previous prime is 2137893713. The next prime is 2137893721. The reversal of 2137893720 is 273987312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137893721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41905 + ... + 77664.

Almost surely, 22137893720 is an apocalyptic number.

2137893720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137893720 is an abundant number, since it is smaller than the sum of its proper divisors (4318886280).

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

2137893720 is a wasteful number, since it uses less digits than its factorization.

2137893720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119732 (or 119728 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 2137893720 is about 46237.3628140706. The cubic root of 2137893720 is about 1288.2358193138.

The spelling of 2137893720 in words is "two billion, one hundred thirty-seven million, eight hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 8940 17880 119569 239138 358707 478276 597845 717414 956552 1195690 1434828 1793535 2391380 2869656 3587070 4782760 7174140 14348280 17815781 35631562 53447343 71263124 89078905 106894686 142526248 178157810 213789372 267236715 356315620 427578744 534473430 712631240 1068946860 2137893720