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1631800656 = 243241276389
BaseRepresentation
bin110000101000011…
…0100110101010000
311012201112001200100
41201100310311100
511320220110111
6425531052400
755303035213
oct14120646520
94181461610
101631800656
11768121a92
123965a1100
132000bb525
14116a1177a
15983d1756
hex61434d50

1631800656 has 60 divisors (see below), whose sum is σ = 4678177140. Its totient is φ = 530664960.

The previous prime is 1631800649. The next prime is 1631800663. The reversal of 1631800656 is 6560081361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1631800649) and next prime (1631800663).

It can be written as a sum of positive squares in 2 ways, for example, as 34999056 + 1596801600 = 5916^2 + 39960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1631800656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132291 + ... + 144098.

It is an arithmetic number, because the mean of its divisors is an integer number (77969619).

Almost surely, 21631800656 is an apocalyptic number.

1631800656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1631800656 is an abundant number, since it is smaller than the sum of its proper divisors (3046376484).

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

1631800656 is a wasteful number, since it uses less digits than its factorization.

1631800656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276444 (or 276435 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1631800656 is about 40395.5524284543. The cubic root of 1631800656 is about 1177.3051246868.

The spelling of 1631800656 in words is "one billion, six hundred thirty-one million, eight hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 276389 552778 829167 1105556 1658334 2211112 2487501 3316668 4422224 4975002 6633336 9950004 11331949 13266672 19900008 22663898 33995847 39800016 45327796 67991694 90655592 101987541 135983388 181311184 203975082 271966776 407950164 543933552 815900328 1631800656