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681494560 = 25529314537
BaseRepresentation
bin101000100111101…
…100100000100000
31202111100111210021
4220213230200200
52343430311220
6151342443224
722613415415
oct5047544040
91674314707
10681494560
1131a75aa4a
12170293514
13ab260326
146671c10c
153ec694aa
hex289ec820

681494560 has 48 divisors (see below), whose sum is σ = 1615637016. Its totient is φ = 271648768.

The previous prime is 681494557. The next prime is 681494563. The reversal of 681494560 is 65494186.

It is an interprime number because it is at equal distance from previous prime (681494557) and next prime (681494563).

It can be written as a sum of positive squares in 4 ways, for example, as 611671824 + 69822736 = 24732^2 + 8356^2 .

It is not an unprimeable number, because it can be changed into a prime (681494563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39612 + ... + 54148.

Almost surely, 2681494560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807818508).

681494560 is an abundant number, since it is smaller than the sum of its proper divisors (934142456).

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

681494560 is a wasteful number, since it uses less digits than its factorization.

681494560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14845 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 681494560 is about 26105.4507718216. The cubic root of 681494560 is about 880.0097106366.

The spelling of 681494560 in words is "six hundred eighty-one million, four hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 2344 2930 4688 5860 9376 11720 14537 23440 29074 46880 58148 72685 116296 145370 232592 290740 465184 581480 1162960 2325920 4259341 8518682 17037364 21296705 34074728 42593410 68149456 85186820 136298912 170373640 340747280 681494560