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690669072 = 24338771823
BaseRepresentation
bin101001001010101…
…100011000010000
31210010121121212000
4221022230120100
52403302402242
6152311234000
723054406312
oct5112543020
91703547760
10690669072
11324956995
12173378900
13b0123232
1467a297b2
154097ca4c
hex292ac610

690669072 has 80 divisors (see below), whose sum is σ = 1985825280. Its totient is φ = 229834368.

The previous prime is 690669071. The next prime is 690669097. The reversal of 690669072 is 270966096.

It is not an unprimeable number, because it can be changed into a prime (690669071) 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 15 ways as a sum of consecutive naturals, for example, 377953 + ... + 379775.

It is an arithmetic number, because the mean of its divisors is an integer number (24822816).

Almost surely, 2690669072 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 690669072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992912640).

690669072 is an abundant number, since it is smaller than the sum of its proper divisors (1295156208).

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

690669072 is a wasteful number, since it uses less digits than its factorization.

690669072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 690669072 is about 26280.5835551648. The cubic root of 690669072 is about 883.9411179497.

The spelling of 690669072 in words is "six hundred ninety million, six hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 877 1754 1823 2631 3508 3646 5262 5469 7016 7292 7893 10524 10938 14032 14584 15786 16407 21048 21876 23679 29168 31572 32814 42096 43752 47358 49221 63144 65628 87504 94716 98442 126288 131256 189432 196884 262512 378864 393768 787536 1598771 3197542 4796313 6395084 9592626 12790168 14388939 19185252 25580336 28777878 38370504 43166817 57555756 76741008 86333634 115111512 172667268 230223024 345334536 690669072