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996965580 = 2235133141231
BaseRepresentation
bin111011011011000…
…111110011001100
32120110222002200010
4323123013303030
54020210344310
6242532233220
733464032122
oct7333076314
92513862603
10996965580
11471840aa6
12239a6b810
1312b716c80
149659b912
155c7d2320
hex3b6c7ccc

996965580 has 96 divisors (see below), whose sum is σ = 3103285248. Its totient is φ = 237484800.

The previous prime is 996965579. The next prime is 996965581. The reversal of 996965580 is 85569699.

It is an interprime number because it is at equal distance from previous prime (996965579) and next prime (996965581).

It is a self number, because there is not a number n which added to its sum of digits gives 996965580.

It is not an unprimeable number, because it can be changed into a prime (996965581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3565 + ... + 44795.

It is an arithmetic number, because the mean of its divisors is an integer number (32325888).

Almost surely, 2996965580 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 996965580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551642624).

996965580 is an abundant number, since it is smaller than the sum of its proper divisors (2106319668).

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

996965580 is a wasteful number, since it uses less digits than its factorization.

996965580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41287 (or 41285 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The square root of 996965580 is about 31574.7617568209. The cubic root of 996965580 is about 998.9875018602.

The spelling of 996965580 in words is "nine hundred ninety-six million, nine hundred sixty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 41231 82462 123693 164924 206155 247386 412310 494772 536003 618465 824620 1072006 1236930 1278161 1608009 2144012 2473860 2556322 2680015 3216018 3834483 5112644 5360030 6390805 6432036 7668966 8040045 10720060 12781610 15337932 16080090 16616093 19172415 25563220 32160180 33232186 38344830 49848279 66464372 76689660 83080465 99696558 166160930 199393116 249241395 332321860 498482790 996965580