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681076032 = 263713172293
BaseRepresentation
bin101000100110000…
…110010101000000
31202110120020200020
4220212012111000
52343323413112
6151325453440
722610023260
oct5046062500
91673506606
10681076032
1131a4a455a
12170111280
13ab144990
146664d7a0
153ebd548c
hex28986540

681076032 has 224 divisors, whose sum is σ = 2349349632. Its totient is φ = 168984576.

The previous prime is 681076021. The next prime is 681076037. The reversal of 681076032 is 230670186.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6810760322 = 927729122729730048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681075984 and 681076002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681076037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295878 + ... + 298170.

It is an arithmetic number, because the mean of its divisors is an integer number (10488168).

Almost surely, 2681076032 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 681076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174674816).

681076032 is an abundant number, since it is smaller than the sum of its proper divisors (1668273600).

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

681076032 is a wasteful number, since it uses less digits than its factorization.

681076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 681076032 is about 26097.4334370259. The cubic root of 681076032 is about 879.8295262066.

The spelling of 681076032 in words is "six hundred eighty-one million, seventy-six thousand, thirty-two".