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997162560 = 263251918223
BaseRepresentation
bin111011011011110…
…111111001000000
32120111100002212200
4323123313321000
54020233200220
6242540353200
733465512322
oct7333677100
92514302780
10997162560
11471965a99
12239b45800
1312b785824
149660d612
155c820890
hex3b6f7e40

997162560 has 168 divisors, whose sum is σ = 3610538880. Its totient is φ = 251900928.

The previous prime is 997162513. The next prime is 997162589. The reversal of 997162560 is 65261799.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45609 + ... + 63831.

Almost surely, 2997162560 is an apocalyptic number.

997162560 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 997162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805269440).

997162560 is an abundant number, since it is smaller than the sum of its proper divisors (2613376320).

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

997162560 is a wasteful number, since it uses less digits than its factorization.

997162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18265 (or 18252 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 997162560 is about 31577.8808662013. The cubic root of 997162560 is about 999.0532906910.

The spelling of 997162560 in words is "nine hundred ninety-seven million, one hundred sixty-two thousand, five hundred sixty".