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681269632 = 2753233431
BaseRepresentation
bin101000100110110…
…101100110000000
31202110221002020121
4220212311212000
52343401112012
6151333550024
722611460561
oct5046654600
91673832217
10681269632
1131a616a5a
121701a5314
13ab1b1b34
14666a0168
153ec22a07
hex289b5980

681269632 has 64 divisors (see below), whose sum is σ = 1391981760. Its totient is φ = 332001280.

The previous prime is 681269599. The next prime is 681269639. The reversal of 681269632 is 236962186.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6812696322 = 928256622970830848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681269639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1580457 + ... + 1580887.

It is an arithmetic number, because the mean of its divisors is an integer number (21749715).

Almost surely, 2681269632 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 681269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695990880).

681269632 is an abundant number, since it is smaller than the sum of its proper divisors (710712128).

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

681269632 is a wasteful number, since it uses less digits than its factorization.

681269632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 681269632 is about 26101.1423504796. The cubic root of 681269632 is about 879.9128839382.

The spelling of 681269632 in words is "six hundred eighty-one million, two hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 233 424 431 466 848 862 932 1696 1724 1864 3392 3448 3728 6784 6896 7456 12349 13792 14912 22843 24698 27584 29824 45686 49396 55168 91372 98792 100423 182744 197584 200846 365488 395168 401692 730976 790336 803384 1461952 1580672 1606768 2923904 3213536 5322419 6427072 10644838 12854144 21289676 42579352 85158704 170317408 340634816 681269632