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690899328 = 2733728559
BaseRepresentation
bin101001001011100…
…100100110000000
31210011001022201000
4221023210212000
52403332234303
6152320212000
723056355520
oct5113444600
91704038630
10690899328
11324aa3989
1217346a000
13b01a3c92
1467a89680
15409c5da3
hex292e4980

690899328 has 128 divisors (see below), whose sum is σ = 2330496000. Its totient is φ = 197392896.

The previous prime is 690899309. The next prime is 690899333. The reversal of 690899328 is 823998096.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 9913 + ... + 38471.

It is an arithmetic number, because the mean of its divisors is an integer number (18207000).

Almost surely, 2690899328 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 690899328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165248000).

690899328 is an abundant number, since it is smaller than the sum of its proper divisors (1639596672).

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

690899328 is a wasteful number, since it uses less digits than its factorization.

690899328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28589 (or 28571 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 690899328 is about 26284.9639147555. The cubic root of 690899328 is about 884.0393367834.

The spelling of 690899328 in words is "six hundred ninety million, eight hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 28559 57118 85677 114236 171354 199913 228472 257031 342708 399826 456944 514062 599739 685416 771093 799652 913888 1028124 1199478 1370832 1542186 1599304 1799217 1827776 2056248 2398956 2741664 3084372 3198608 3598434 3655552 4112496 4797912 5397651 5483328 6168744 6397216 7196868 8224992 9595824 10795302 10966656 12337488 12794432 14393736 16449984 19191648 21590604 24674976 25588864 28787472 32899968 38383296 43181208 49349952 57574944 76766592 86362416 98699904 115149888 172724832 230299776 345449664 690899328