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997180992 = 263210131709
BaseRepresentation
bin111011011011111…
…100011001000000
32120111101001011100
4323123330121000
54020234242432
6242541014400
733465620133
oct7333743100
92514331140
10997180992
11471978925
12239b54400
1312b791032
149661621a
155c82607c
hex3b6fc640

997180992 has 84 divisors (see below), whose sum is σ = 2862734940. Its totient is φ = 331871232.

The previous prime is 997180991. The next prime is 997180997. The reversal of 997180992 is 299081799.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 937829376 = 7704^2 + 30624^2 .

It is a super-2 number, since 2×9971809922 = 1988739861612208128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (997180991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582634 + ... + 584342.

Almost surely, 2997180992 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 997180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431367470).

997180992 is an abundant number, since it is smaller than the sum of its proper divisors (1865553948).

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

997180992 is a wasteful number, since it uses less digits than its factorization.

997180992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The square root of 997180992 is about 31578.1727147091. The cubic root of 997180992 is about 999.0594463028.

The spelling of 997180992 in words is "nine hundred ninety-seven million, one hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1013 1709 2026 3039 3418 4052 5127 6078 6836 8104 9117 10254 12156 13672 15381 16208 18234 20508 24312 27344 30762 32416 36468 41016 48624 54688 61524 64832 72936 82032 97248 109376 123048 145872 164064 194496 246096 291744 328128 492192 583488 984384 1731217 3462434 5193651 6924868 10387302 13849736 15580953 20774604 27699472 31161906 41549208 55398944 62323812 83098416 110797888 124647624 166196832 249295248 332393664 498590496 997180992