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681053184 = 2103571723
BaseRepresentation
bin101000100110000…
…000110000000000
31202110112002100000
4220212000300000
52343322200214
6151325200000
722606566540
oct5046006000
91673462300
10681053184
1131a489379
12170100000
13ab137466
1466645320
153ebcd809
hex28980c00

681053184 has 528 divisors, whose sum is σ = 2575093248. Its totient is φ = 175177728.

The previous prime is 681053183. The next prime is 681053203. The reversal of 681053184 is 481350186.

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

It is not an unprimeable number, because it can be changed into a prime (681053183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29610997 + ... + 29611019.

Almost surely, 2681053184 is an apocalyptic number.

681053184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681053184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287546624).

681053184 is an abundant number, since it is smaller than the sum of its proper divisors (1894040064).

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

681053184 is a wasteful number, since it uses less digits than its factorization.

681053184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 681053184 is about 26096.9956891593. The cubic root of 681053184 is about 879.8196875743.

It can be divided in two parts, 68105 and 3184, that added together give a square (71289 = 2672).

The spelling of 681053184 in words is "six hundred eighty-one million, fifty-three thousand, one hundred eighty-four".