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2157664560 = 243515235903
BaseRepresentation
bin1000000010011011…
…0101100100110000
312120101000201100020
42000212311210300
513404330231220
6554034123440
7104316563142
oct20046654460
95511021306
102157664560
11a07a44357
12502720580
1328502aabc
141667bac92
15c9658040
hex809b5930

2157664560 has 80 divisors (see below), whose sum is σ = 6694285824. Its totient is φ = 574902016.

The previous prime is 2157664559. The next prime is 2157664589. The reversal of 2157664560 is 654667512.

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

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, 362569 + ... + 368471.

Almost surely, 22157664560 is an apocalyptic number.

2157664560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2157664560 is an abundant number, since it is smaller than the sum of its proper divisors (4536621264).

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

2157664560 is a wasteful number, since it uses less digits than its factorization.

2157664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2157664560 is about 46450.6680253363. The cubic root of 2157664560 is about 1292.1947614773.

The spelling of 2157664560 in words is "two billion, one hundred fifty-seven million, six hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1523 3046 4569 5903 6092 7615 9138 11806 12184 15230 17709 18276 22845 23612 24368 29515 30460 35418 36552 45690 47224 59030 60920 70836 73104 88545 91380 94448 118060 121840 141672 177090 182760 236120 283344 354180 365520 472240 708360 1416720 8990269 17980538 26970807 35961076 44951345 53941614 71922152 89902690 107883228 134854035 143844304 179805380 215766456 269708070 359610760 431532912 539416140 719221520 1078832280 2157664560