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10706892 = 22372131139
BaseRepresentation
bin101000110101…
…111111001100
3202010222002120
4220311333030
510220110032
61021252540
7160002300
oct50657714
922128076
1010706892
116053279
123704150
1322ab551
1415c9d00
15e1762c
hexa35fcc

10706892 has 72 divisors (see below), whose sum is σ = 29494080. Its totient is φ = 3013920.

The previous prime is 10706879. The next prime is 10706911. The reversal of 10706892 is 29860701.

It is a super-2 number, since 2×107068922 = 229275072599328, which contains 22 as substring.

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, 76959 + ... + 77097.

It is an arithmetic number, because the mean of its divisors is an integer number (409640).

Almost surely, 210706892 is an apocalyptic number.

10706892 is a gapful number since it is divisible by the number (12) 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 10706892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747040).

10706892 is an abundant number, since it is smaller than the sum of its proper divisors (18787188).

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

10706892 is a wasteful number, since it uses less digits than its factorization.

10706892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10706892 is about 3272.1387501144. The cubic root of 10706892 is about 220.4048468252.

The spelling of 10706892 in words is "ten million, seven hundred six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 131 139 147 196 262 278 294 393 417 524 556 588 786 834 917 973 1572 1668 1834 1946 2751 2919 3668 3892 5502 5838 6419 6811 11004 11676 12838 13622 18209 19257 20433 25676 27244 36418 38514 40866 54627 72836 77028 81732 109254 127463 218508 254926 382389 509852 764778 892241 1529556 1784482 2676723 3568964 5353446 10706892