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996337680 = 243513319339
BaseRepresentation
bin111011011000101…
…110100000010000
32120102210012100120
4323120232200100
54020030301210
6242510550240
733455505402
oct7330564020
92512705316
10996337680
11471452278
12239808380
1312b557230
1496476b72
155c70b270
hex3b62e810

996337680 has 80 divisors (see below), whose sum is σ = 3326245440. Its totient is φ = 245251584.

The previous prime is 996337627. The next prime is 996337697. The reversal of 996337680 is 86733699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 156550 + ... + 162789.

It is an arithmetic number, because the mean of its divisors is an integer number (41578068).

Almost surely, 2996337680 is an apocalyptic number.

It is an amenable number.

996337680 is an abundant number, since it is smaller than the sum of its proper divisors (2329907760).

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

996337680 is a wasteful number, since it uses less digits than its factorization.

996337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319368 (or 319362 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 996337680 is about 31564.8171228664. The cubic root of 996337680 is about 998.7777333395. Note that the first 4 decimals are identical.

The spelling of 996337680 in words is "nine hundred ninety-six million, three hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 319339 638678 958017 1277356 1596695 1916034 2554712 3193390 3832068 4151407 4790085 5109424 6386780 7664136 8302814 9580170 12454221 12773560 15328272 16605628 19160340 20757035 24908442 25547120 33211256 38320680 41514070 49816884 62271105 66422512 76641360 83028140 99633768 124542210 166056280 199267536 249084420 332112560 498168840 996337680