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10942464 = 211313137
BaseRepresentation
bin101001101111…
…100000000000
3202120221020110
4221233200000
510300124324
61030311320
7162003141
oct51574000
922527213
1010942464
1161a4265
1237b8540
132361840
14164bac8
15e62329
hexa6f800

10942464 has 96 divisors (see below), whose sum is σ = 31646160. Its totient is φ = 3342336.

The previous prime is 10942453. The next prime is 10942469. The reversal of 10942464 is 46424901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×109424643 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10942469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79804 + ... + 79940.

Almost surely, 210942464 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 10942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823080).

10942464 is an abundant number, since it is smaller than the sum of its proper divisors (20703696).

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

10942464 is a wasteful number, since it uses less digits than its factorization.

10942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 10942464 is about 3307.9395399553. The cubic root of 10942464 is about 222.0095767316.

The spelling of 10942464 in words is "ten million, nine hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 137 156 192 208 256 274 312 384 411 416 512 548 624 768 822 832 1024 1096 1248 1536 1644 1664 1781 2048 2192 2496 3072 3288 3328 3562 4384 4992 5343 6144 6576 6656 7124 8768 9984 10686 13152 13312 14248 17536 19968 21372 26304 26624 28496 35072 39936 42744 52608 56992 70144 79872 85488 105216 113984 140288 170976 210432 227968 280576 341952 420864 455936 683904 841728 911872 1367808 1823744 2735616 3647488 5471232 10942464