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10997160 = 2335113811
BaseRepresentation
bin101001111100…
…110110101000
3202200201021020
4221330312220
510303402120
61031412440
7162321456
oct51746650
922621236
1010997160
116231369
123824120
1323806c5
1416639d6
15e73640
hexa7cda8

10997160 has 64 divisors (see below), whose sum is σ = 33324480. Its totient is φ = 2903040.

The previous prime is 10997153. The next prime is 10997167. The reversal of 10997160 is 6179901.

It is an interprime number because it is at equal distance from previous prime (10997153) and next prime (10997167).

It is not an unprimeable number, because it can be changed into a prime (10997167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13155 + ... + 13965.

It is an arithmetic number, because the mean of its divisors is an integer number (520695).

Almost surely, 210997160 is an apocalyptic number.

10997160 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 10997160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662240).

10997160 is an abundant number, since it is smaller than the sum of its proper divisors (22327320).

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

10997160 is a wasteful number, since it uses less digits than its factorization.

10997160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The square root of 10997160 is about 3316.1966166076. The cubic root of 10997160 is about 222.3788677021.

The spelling of 10997160 in words is "ten million, nine hundred ninety-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 811 904 1130 1356 1622 1695 2260 2433 2712 3244 3390 4055 4520 4866 6488 6780 8110 9732 12165 13560 16220 19464 24330 32440 48660 91643 97320 183286 274929 366572 458215 549858 733144 916430 1099716 1374645 1832860 2199432 2749290 3665720 5498580 10997160