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690729984 = 2103374383
BaseRepresentation
bin101001001010111…
…011010000000000
31210010201201102000
4221022323100000
52403311324414
6152312424000
723055052020
oct5112732000
91703651360
10690729984
1132499872a
121733a8000
13b0144b89
1467a43a80
1540990b09
hex292bb400

690729984 has 352 divisors, whose sum is σ = 2421027840. Its totient is φ = 190439424.

The previous prime is 690729967. The next prime is 690729989. The reversal of 690729984 is 489927096.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 690729984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690729989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8322007 + ... + 8322089.

It is an arithmetic number, because the mean of its divisors is an integer number (6877920).

Almost surely, 2690729984 is an apocalyptic number.

690729984 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 690729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210513920).

690729984 is an abundant number, since it is smaller than the sum of its proper divisors (1730297856).

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

690729984 is a wasteful number, since it uses less digits than its factorization.

690729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 690729984 is about 26281.7424079911. The cubic root of 690729984 is about 883.9671029164.

The spelling of 690729984 in words is "six hundred ninety million, seven hundred twenty-nine thousand, nine hundred eighty-four".