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690812640 = 253257193607
BaseRepresentation
bin101001001011001…
…111011011100000
31210010212220210100
4221023033123200
52403322001030
6152314302400
723055545010
oct5113173340
91703786710
10690812640
11324a44841
12173427a00
13b017369b
1467a65c40
15409aa360
hex292cf6e0

690812640 has 288 divisors, whose sum is σ = 2836753920. Its totient is φ = 149548032.

The previous prime is 690812623. The next prime is 690812677. The reversal of 690812640 is 46218096.

690812640 is a `hidden beast` number, since 6 + 9 + 0 + 8 + 1 + 2 + 640 = 666.

690812640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 690812595 and 690812604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189717 + ... + 193323.

It is an arithmetic number, because the mean of its divisors is an integer number (9849840).

Almost surely, 2690812640 is an apocalyptic number.

690812640 is a gapful number since it is divisible by the number (60) 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 690812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418376960).

690812640 is an abundant number, since it is smaller than the sum of its proper divisors (2145941280).

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

690812640 is a wasteful number, since it uses less digits than its factorization.

690812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 690812640 is about 26283.3148594313. The cubic root of 690812640 is about 884.0023613977.

The spelling of 690812640 in words is "six hundred ninety million, eight hundred twelve thousand, six hundred forty".