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690144728 = 237136115541
BaseRepresentation
bin101001001000101…
…100010111011000
31210002121222120212
4221020230113120
52403134112403
6152252110252
723050063520
oct5110542730
91702558525
10690144728
11324628a49
12173165388
13acc9b680
1467930680
15408c74d8
hex2922c5d8

690144728 has 64 divisors (see below), whose sum is σ = 1618854720. Its totient is φ = 268531200.

The previous prime is 690144713. The next prime is 690144773. The reversal of 690144728 is 827441096.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36638 + ... + 52178.

It is an arithmetic number, because the mean of its divisors is an integer number (25294605).

Almost surely, 2690144728 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 690144728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809427360).

690144728 is an abundant number, since it is smaller than the sum of its proper divisors (928709992).

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

690144728 is a wasteful number, since it uses less digits than its factorization.

690144728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 690144728 is about 26270.6057790832. The cubic root of 690144728 is about 883.7173703882.

The spelling of 690144728 in words is "six hundred ninety million, one hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 244 364 427 488 728 793 854 1586 1708 3172 3416 5551 6344 11102 15541 22204 31082 44408 62164 108787 124328 202033 217574 404066 435148 808132 870296 948001 1414231 1616264 1896002 2828462 3792004 5656924 6636007 7584008 11313848 12324013 13272014 24648026 26544028 49296052 53088056 86268091 98592104 172536182 345072364 690144728