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996216660 = 2232517379859
BaseRepresentation
bin111011011000010…
…000111101010100
32120102120001100100
4323120100331110
54020012413120
6242504214100
733454462515
oct7330207524
92512501310
10996216660
1147137a35a
1223976a330
1312b51411a
1496444a0c
155c6d5490
hex3b610f54

996216660 has 144 divisors (see below), whose sum is σ = 3211790400. Its totient is φ = 249080832.

The previous prime is 996216649. The next prime is 996216707. The reversal of 996216660 is 66612699.

996216660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159311 + ... + 1160169.

It is an arithmetic number, because the mean of its divisors is an integer number (22304100).

Almost surely, 2996216660 is an apocalyptic number.

996216660 is a gapful number since it is divisible by the number (90) 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 996216660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605895200).

996216660 is an abundant number, since it is smaller than the sum of its proper divisors (2215573740).

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

996216660 is a wasteful number, since it uses less digits than its factorization.

996216660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 996216660 is about 31562.9000568706. The cubic root of 996216660 is about 998.7372929086.

The spelling of 996216660 in words is "nine hundred ninety-six million, two hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 379 510 612 758 765 859 1020 1137 1516 1530 1718 1895 2274 2577 3060 3411 3436 3790 4295 4548 5154 5685 6443 6822 7580 7731 8590 10308 11370 12885 12886 13644 14603 15462 17055 17180 19329 22740 25770 25772 29206 30924 32215 34110 38655 38658 43809 51540 57987 58412 64430 68220 73015 77310 77316 87618 96645 115974 128860 131427 146030 154620 175236 193290 219045 231948 262854 289935 292060 325561 386580 438090 525708 579870 651122 657135 876180 976683 1159740 1302244 1314270 1627805 1953366 2628540 2930049 3255610 3906732 4883415 5534537 5860098 6511220 9766830 11069074 11720196 14650245 16603611 19533660 22138148 27672685 29300490 33207222 49810833 55345370 58600980 66414444 83018055 99621666 110690740 166036110 199243332 249054165 332072220 498108330 996216660