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690532128 = 2538111323
BaseRepresentation
bin101001001010001…
…010111100100000
31210010100200000000
4221022022330200
52403234012003
6152304300000
723053266126
oct5112127440
91703320000
10690532128
11324873010
12173311600
13b00a5ac0
14679d1916
15409521a3
hex2928af20

690532128 has 432 divisors, whose sum is σ = 2499771456. Its totient is φ = 184757760.

The previous prime is 690532121. The next prime is 690532133. The reversal of 690532128 is 821235096.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 690532092 and 690532101.

It is not an unprimeable number, because it can be changed into a prime (690532121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30023125 + ... + 30023147.

It is an arithmetic number, because the mean of its divisors is an integer number (5786508).

Almost surely, 2690532128 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 690532128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249885728).

690532128 is an abundant number, since it is smaller than the sum of its proper divisors (1809239328).

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

690532128 is a wasteful number, since it uses less digits than its factorization.

690532128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 690532128 is about 26277.9780044051. The cubic root of 690532128 is about 883.8826922681.

The spelling of 690532128 in words is "six hundred ninety million, five hundred thirty-two thousand, one hundred twenty-eight".