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969790120 = 2351313713613
BaseRepresentation
bin111001110011011…
…101001010101000
32111120211102221121
4321303131022220
53441231240440
6240121545024
733014036305
oct7163351250
92446742847
10969790120
1145846a742
12230945174
13125bc0810
1492b260ac
155a21534a
hex39cdd2a8

969790120 has 64 divisors (see below), whose sum is σ = 2367202320. Its totient is φ = 355436544.

The previous prime is 969790043. The next prime is 969790121. The reversal of 969790120 is 21097969.

It can be written as a sum of positive squares in 8 ways, for example, as 29877156 + 939912964 = 5466^2 + 30658^2 .

It is a super-2 number, since 2×9697901202 = 1880985753699228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (969790121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64434 + ... + 78046.

Almost surely, 2969790120 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 969790120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183601160).

969790120 is an abundant number, since it is smaller than the sum of its proper divisors (1397412200).

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

969790120 is a wasteful number, since it uses less digits than its factorization.

969790120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13774 (or 13770 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 969790120 is about 31141.4534021776. The cubic root of 969790120 is about 989.8268989600.

The spelling of 969790120 in words is "nine hundred sixty-nine million, seven hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 260 274 520 548 685 1096 1370 1781 2740 3562 5480 7124 8905 13613 14248 17810 27226 35620 54452 68065 71240 108904 136130 176969 272260 353938 544520 707876 884845 1415752 1769690 1864981 3539380 3729962 7078760 7459924 9324905 14919848 18649810 24244753 37299620 48489506 74599240 96979012 121223765 193958024 242447530 484895060 969790120