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990774960 = 2435717113307
BaseRepresentation
bin111011000011100…
…000011010110000
32120001022120201220
4323003200122300
54012114244320
6242151425040
733360306510
oct7303403260
92501276656
10990774960
114692a298a
12237985180
1312a35a296
1495829840
155beace40
hex3b0e06b0

990774960 has 320 divisors, whose sum is σ = 3761759232. Its totient is φ = 210567168.

The previous prime is 990774919. The next prime is 990775001. The reversal of 990774960 is 69477099.

It is an interprime number because it is at equal distance from previous prime (990774919) and next prime (990775001).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 3227127 + ... + 3227433.

Almost surely, 2990774960 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 990774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880879616).

990774960 is an abundant number, since it is smaller than the sum of its proper divisors (2770984272).

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

990774960 is a wasteful number, since it uses less digits than its factorization.

990774960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 990774960 is about 31476.5779588570. The cubic root of 990774960 is about 996.9154821989.

The spelling of 990774960 in words is "nine hundred ninety million, seven hundred seventy-four thousand, nine hundred sixty".