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5681590920 = 23325119313229
BaseRepresentation
bin1010100101010011…
…00011001010001000
3112122221220201112100
411102221203022020
543113441402140
62335440113400
7260536504005
oct52251431210
915587821470
105681590920
112456123395
121126905860
136c7123a25
143bc8068ac
15233bde530
hex152a63288

5681590920 has 96 divisors (see below), whose sum is σ = 18482045400. Its totient is φ = 1513706496.

The previous prime is 5681590877. The next prime is 5681590921. The reversal of 5681590920 is 290951865.

5681590920 is a `hidden beast` number, since 56 + 8 + 1 + 590 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5643915876 + 37675044 = 75126^2 + 6138^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5681590921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422866 + ... + 436094.

Almost surely, 25681590920 is an apocalyptic number.

It is an amenable number.

5681590920 is an abundant number, since it is smaller than the sum of its proper divisors (12800454480).

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

5681590920 is a wasteful number, since it uses less digits than its factorization.

5681590920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14439 (or 14432 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5681590920 is about 75376.3286450063. The cubic root of 5681590920 is about 1784.3908473887.

The spelling of 5681590920 in words is "five billion, six hundred eighty-one million, five hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1193 2386 3579 4772 5965 7158 9544 10737 11930 13229 14316 17895 21474 23860 26458 28632 35790 39687 42948 47720 52916 53685 66145 71580 79374 85896 105832 107370 119061 132290 143160 158748 198435 214740 238122 264580 317496 396870 429480 476244 529160 595305 793740 952488 1190610 1587480 2381220 4762440 15782197 31564394 47346591 63128788 78910985 94693182 126257576 142039773 157821970 189386364 236732955 284079546 315643940 378772728 473465910 568159092 631287880 710198865 946931820 1136318184 1420397730 1893863640 2840795460 5681590920