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10468608 = 28343317
BaseRepresentation
bin100111111011…
…110100000000
3201200212020020
4213323310000
510134443413
61012213440
7154660503
oct47736400
921625206
1010468608
115a00247
12360a280
132226c57
14156713a
15dbbc23
hex9fbd00

10468608 has 72 divisors (see below), whose sum is σ = 28599648. Its totient is φ = 3397632.

The previous prime is 10468589. The next prime is 10468609. The reversal of 10468608 is 80686401.

10468608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10468609) 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, 32866 + ... + 33182.

Almost surely, 210468608 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 10468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299824).

10468608 is an abundant number, since it is smaller than the sum of its proper divisors (18131040).

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

10468608 is an equidigital number, since it uses as much as digits as its factorization.

10468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10468608 is about 3235.5228325574. The cubic root of 10468608 is about 218.7575139732.

The spelling of 10468608 in words is "ten million, four hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 317 344 384 516 634 688 768 951 1032 1268 1376 1902 2064 2536 2752 3804 4128 5072 5504 7608 8256 10144 11008 13631 15216 16512 20288 27262 30432 33024 40576 40893 54524 60864 81152 81786 109048 121728 163572 218096 243456 327144 436192 654288 872384 1308576 1744768 2617152 3489536 5234304 10468608