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996360680 = 235741229379
BaseRepresentation
bin111011011000110…
…100000111101000
32120102211100220102
4323120310013220
54020032020210
6242511244532
733455632430
oct7330640750
92512740812
10996360680
11471468587
12239819748
1312b564843
14964812c0
155c712ea5
hex3b6341e8

996360680 has 128 divisors (see below), whose sum is σ = 2642976000. Its totient is φ = 330946560.

The previous prime is 996360653. The next prime is 996360689. The reversal of 996360680 is 86063699.

996360680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (996360689) 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, 2628731 + ... + 2629109.

It is an arithmetic number, because the mean of its divisors is an integer number (20648250).

Almost surely, 2996360680 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 996360680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321488000).

996360680 is an abundant number, since it is smaller than the sum of its proper divisors (1646615320).

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

996360680 is a wasteful number, since it uses less digits than its factorization.

996360680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 996360680 is about 31565.1814504526. The cubic root of 996360680 is about 998.7854187229.

The spelling of 996360680 in words is "nine hundred ninety-six million, three hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 229 280 287 328 379 410 458 574 758 820 916 1145 1148 1435 1516 1603 1640 1832 1895 2290 2296 2653 2870 3032 3206 3790 4580 5306 5740 6412 7580 8015 9160 9389 10612 11480 12824 13265 15160 15539 16030 18778 21224 26530 31078 32060 37556 46945 53060 62156 64120 65723 75112 77695 86791 93890 106120 108773 124312 131446 155390 173582 187780 217546 262892 310780 328615 347164 375560 433955 435092 525784 543865 607537 621560 657230 694328 867910 870184 1087730 1215074 1314460 1735820 2175460 2430148 2628920 3037685 3471640 3558431 4350920 4860296 6075370 7116862 12150740 14233724 17792155 24301480 24909017 28467448 35584310 49818034 71168620 99636068 124545085 142337240 199272136 249090170 498180340 996360680