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996403680 = 2534576883
BaseRepresentation
bin111011011000111…
…110100111100000
32120102220112220000
4323120332213200
54020034404210
6242512220000
733456201666
oct7330764740
92512815800
10996403680
11471497918
1223983a600
1312b57b29c
1496492c36
155c720ac0
hex3b63e9e0

996403680 has 120 divisors (see below), whose sum is σ = 3516520392. Its totient is φ = 265704192.

The previous prime is 996403669. The next prime is 996403687. The reversal of 996403680 is 86304699.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996403687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25482 + ... + 51401.

Almost surely, 2996403680 is an apocalyptic number.

996403680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

996403680 is an abundant number, since it is smaller than the sum of its proper divisors (2520116712).

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

996403680 is a wasteful number, since it uses less digits than its factorization.

996403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76910 (or 76893 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 996403680 is about 31565.8625733560. The cubic root of 996403680 is about 998.7997867311.

The spelling of 996403680 in words is "nine hundred ninety-six million, four hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 76883 153766 230649 307532 384415 461298 615064 691947 768830 922596 1153245 1230128 1383894 1537660 1845192 2075841 2306490 2460256 2767788 3075320 3459735 3690384 4151682 4612980 5535576 6150640 6227523 6919470 7380768 8303364 9225960 10379205 11071152 12301280 12455046 13838940 16606728 18451920 20758410 22142304 24910092 27677880 31137615 33213456 36903840 41516820 49820184 55355760 62275230 66426912 83033640 99640368 110711520 124550460 166067280 199280736 249100920 332134560 498201840 996403680