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10980864 = 29322383
BaseRepresentation
bin101001111000…
…111000000000
3202122212220200
4221320320000
510302341424
61031205200
7162223116
oct51707000
922585820
1010980864
1162200a4
123816800
13237616b
14165bab6
15e6d8c9
hexa78e00

10980864 has 60 divisors (see below), whose sum is σ = 31704816. Its totient is φ = 3658752.

The previous prime is 10980859. The next prime is 10980869. The reversal of 10980864 is 46808901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10980859) and next prime (10980869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10980869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3417 + ... + 5799.

Almost surely, 210980864 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 10980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852408).

10980864 is an abundant number, since it is smaller than the sum of its proper divisors (20723952).

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

10980864 is an equidigital number, since it uses as much as digits as its factorization.

10980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10980864 is about 3313.7386740659. The cubic root of 10980864 is about 222.2689703132.

The spelling of 10980864 in words is "ten million, nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2383 4608 4766 7149 9532 14298 19064 21447 28596 38128 42894 57192 76256 85788 114384 152512 171576 228768 305024 343152 457536 610048 686304 915072 1220096 1372608 1830144 2745216 3660288 5490432 10980864