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10422656 = 27107761
BaseRepresentation
bin100111110000…
…100110000000
3201121112012022
4213300212000
510132011111
61011221012
7154406516
oct47604600
921545168
1010422656
115979772
1235a7768
13220c06a
1415544b6
15dad2db
hex9f0980

10422656 has 32 divisors (see below), whose sum is σ = 20985480. Its totient is φ = 5155840.

The previous prime is 10422653. The next prime is 10422661. The reversal of 10422656 is 65622401.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13316 + ... + 14076.

Almost surely, 210422656 is an apocalyptic number.

10422656 is a gapful number since it is divisible by the number (16) 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 10422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10492740).

10422656 is an abundant number, since it is smaller than the sum of its proper divisors (10562824).

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

10422656 is an equidigital number, since it uses as much as digits as its factorization.

10422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10422656 is about 3228.4138520332. The cubic root of 10422656 is about 218.4369654811.

The spelling of 10422656 in words is "ten million, four hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 761 856 1522 1712 3044 3424 6088 6848 12176 13696 24352 48704 81427 97408 162854 325708 651416 1302832 2605664 5211328 10422656