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690500016 = 2432171272221
BaseRepresentation
bin101001001010000…
…011000110110000
31210010022000221200
4221022003012300
52403232000031
6152303451200
723053103403
oct5112030660
91703260850
10690500016
11324850978
121732b6b00
13b00942bb
14679c3d3a
15409478e6
hex292831b0

690500016 has 120 divisors (see below), whose sum is σ = 2063153664. Its totient is φ = 214824960.

The previous prime is 690500009. The next prime is 690500017. The reversal of 690500016 is 610005096.

It is not an unprimeable number, because it can be changed into a prime (690500017) 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 23 ways as a sum of consecutive naturals, for example, 309786 + ... + 312006.

Almost surely, 2690500016 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 690500016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031576832).

690500016 is an abundant number, since it is smaller than the sum of its proper divisors (1372653648).

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

690500016 is a wasteful number, since it uses less digits than its factorization.

690500016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 690500016 is about 26277.3669913863. The cubic root of 690500016 is about 883.8689909114.

The spelling of 690500016 in words is "six hundred ninety million, five hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 127 136 144 153 204 254 272 306 381 408 508 612 762 816 1016 1143 1224 1524 2032 2159 2221 2286 2448 3048 4318 4442 4572 6096 6477 6663 8636 8884 9144 12954 13326 17272 17768 18288 19431 19989 25908 26652 34544 35536 37757 38862 39978 51816 53304 75514 77724 79956 103632 106608 113271 151028 155448 159912 226542 282067 302056 310896 319824 339813 453084 564134 604112 679626 846201 906168 1128268 1359252 1692402 1812336 2256536 2538603 2718504 3384804 4513072 4795139 5077206 5437008 6769608 9590278 10154412 13539216 14385417 19180556 20308824 28770834 38361112 40617648 43156251 57541668 76722224 86312502 115083336 172625004 230166672 345250008 690500016