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10697960 = 2357132939
BaseRepresentation
bin101000110011…
…110011101000
3202010111211202
4220303303220
510214313320
61021143332
7156634250
oct50636350
922114752
1010697960
116047599
1236bab48
1322a7470
1415c6960
15e14b75
hexa33ce8

10697960 has 64 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3384576.

The previous prime is 10697941. The next prime is 10697963. The reversal of 10697960 is 6979601.

10697960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106979602 = 228892696323200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10697963) 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, 2171 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 210697960 is an apocalyptic number.

10697960 is a gapful number since it is divisible by the number (10) 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 10697960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

10697960 is an abundant number, since it is smaller than the sum of its proper divisors (18937240).

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

10697960 is a wasteful number, since it uses less digits than its factorization.

10697960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 10697960 is about 3270.7736087965. The cubic root of 10697960 is about 220.3435404012.

The spelling of 10697960 in words is "ten million, six hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 2939 3640 5878 11756 14695 20573 23512 29390 38207 41146 58780 76414 82292 102865 117560 152828 164584 191035 205730 267449 305656 382070 411460 534898 764140 822920 1069796 1337245 1528280 2139592 2674490 5348980 10697960