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10462968 = 2332295011
BaseRepresentation
bin100111111010…
…011011111000
3201200120111100
4213322123320
510134303333
61012131400
7154635165
oct47723370
921616440
1010462968
1159a6a8a
123606b60
132224509
14156506c
15dba213
hex9fa6f8

10462968 has 48 divisors (see below), whose sum is σ = 29320200. Its totient is φ = 3366720.

The previous prime is 10462967. The next prime is 10462981. The reversal of 10462968 is 86926401.

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 (10462967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418 + ... + 4593.

Almost surely, 210462968 is an apocalyptic number.

10462968 is a gapful number since it is divisible by the number (18) 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 10462968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14660100).

10462968 is an abundant number, since it is smaller than the sum of its proper divisors (18857232).

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

10462968 is a wasteful number, since it uses less digits than its factorization.

10462968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10462968 is about 3234.6511403859. The cubic root of 10462968 is about 218.7182214517.

The spelling of 10462968 in words is "ten million, four hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 5011 10022 15033 20044 30066 40088 45099 60132 90198 120264 145319 180396 290638 360792 435957 581276 871914 1162552 1307871 1743828 2615742 3487656 5231484 10462968