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690808032 = 25328926951
BaseRepresentation
bin101001001011001…
…110010011100000
31210010212200110200
4221023032103200
52403321324112
6152314225200
723055525405
oct5113162340
91703780420
10690808032
11324a41332
12173425200
13b0171565
1467a642ac
15409a8cdc
hex292ce4e0

690808032 has 72 divisors (see below), whose sum is σ = 1986631920. Its totient is φ = 227673600.

The previous prime is 690808009. The next prime is 690808037. The reversal of 690808032 is 230808096.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690808037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12157 + ... + 39107.

It is an arithmetic number, because the mean of its divisors is an integer number (27592110).

Almost surely, 2690808032 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 690808032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993315960).

690808032 is an abundant number, since it is smaller than the sum of its proper divisors (1295823888).

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

690808032 is a wasteful number, since it uses less digits than its factorization.

690808032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27056 (or 27045 counting only the distinct ones).

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

The square root of 690808032 is about 26283.2271991093. The cubic root of 690808032 is about 884.0003958421. Note that the first 3 decimals are identical.

The spelling of 690808032 in words is "six hundred ninety million, eight hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 26951 53902 80853 107804 161706 215608 242559 323412 431216 485118 646824 862432 970236 1293648 1940472 2398639 2587296 3880944 4797278 7195917 7761888 9594556 14391834 19189112 21587751 28783668 38378224 43175502 57567336 76756448 86351004 115134672 172702008 230269344 345404016 690808032