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990596736 = 2733416991
BaseRepresentation
bin111011000010110…
…100111010000000
32120000222112021000
4323002310322000
54012043043421
6242143532000
733355635063
oct7302647200
92500875230
10990596736
11469190a98
122378ba000
1312a2c711c
14957c08da
155be75226
hex3b0b4e80

990596736 has 128 divisors (see below), whose sum is σ = 2995372800. Its totient is φ = 322099200.

The previous prime is 990596707. The next prime is 990596743. The reversal of 990596736 is 637695099.

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 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, 138201 + ... + 145191.

It is an arithmetic number, because the mean of its divisors is an integer number (23401350).

Almost surely, 2990596736 is an apocalyptic number.

990596736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990596736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497686400).

990596736 is an abundant number, since it is smaller than the sum of its proper divisors (2004776064).

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

990596736 is a wasteful number, since it uses less digits than its factorization.

990596736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 990596736 is about 31473.7467740973. The cubic root of 990596736 is about 996.8557024215.

The spelling of 990596736 in words is "nine hundred ninety million, five hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 6991 7872 8856 11808 13982 15744 17712 20973 23616 27964 35424 41946 47232 55928 62919 70848 83892 111856 125838 141696 167784 188757 223712 251676 286631 335568 377514 447424 503352 573262 671136 755028 859893 894848 1006704 1146524 1342272 1510056 1719786 2013408 2293048 2579679 2684544 3020112 3439572 4026816 4586096 5159358 6040224 6879144 7739037 8053632 9172192 10318716 12080448 13758288 15478074 18344384 20637432 24160896 27516576 30956148 36688768 41274864 55033152 61912296 82549728 110066304 123824592 165099456 247649184 330198912 495298368 990596736