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681593940 = 22345420737
BaseRepresentation
bin101000101000000…
…100110001010100
31202111112120010000
4220220010301110
52343442001230
6151344531300
722614311226
oct5050046124
91674476100
10681593940
1131a818685
12170320b30
13ab296631
1466746416
153ec88b60
hex28a04c54

681593940 has 60 divisors (see below), whose sum is σ = 2138190516. Its totient is φ = 181757952.

The previous prime is 681593921. The next prime is 681593981. The reversal of 681593940 is 49395186.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 297355536 + 384238404 = 17244^2 + 19602^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 208749 + ... + 211988.

Almost surely, 2681593940 is an apocalyptic number.

681593940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681593940 is an abundant number, since it is smaller than the sum of its proper divisors (1456596576).

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

681593940 is a wasteful number, since it uses less digits than its factorization.

681593940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420758 (or 420747 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 681593940 is about 26107.3541363348. The cubic root of 681593940 is about 880.0524848173.

The spelling of 681593940 in words is "six hundred eighty-one million, five hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 420737 841474 1262211 1682948 2103685 2524422 3786633 4207370 5048844 6311055 7573266 8414740 11359899 12622110 15146532 18933165 22719798 25244220 34079697 37866330 45439596 56799495 68159394 75732660 113598990 136318788 170398485 227197980 340796970 681593940