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10128816 = 2432312269
BaseRepresentation
bin100110101000…
…110110110000
3201001121010100
4212220312300
510043110231
61001032400
7152044035
oct46506660
921047110
1010128816
115798a25
123485700
1321383a9
1414b938c
15d511e6
hex9a8db0

10128816 has 60 divisors (see below), whose sum is σ = 29273920. Its totient is φ = 3265920.

The previous prime is 10128803. The next prime is 10128817. The reversal of 10128816 is 61882101.

It is a self number, because there is not a number n which added to its sum of digits gives 10128816.

It is not an unprimeable number, because it can be changed into a prime (10128817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3330 + ... + 5598.

Almost surely, 210128816 is an apocalyptic number.

10128816 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 10128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636960).

10128816 is an abundant number, since it is smaller than the sum of its proper divisors (19145104).

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

10128816 is a wasteful number, since it uses less digits than its factorization.

10128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10128816 is about 3182.5800854024. The cubic root of 10128816 is about 216.3646105243.

The spelling of 10128816 in words is "ten million, one hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2269 4464 4538 6807 9076 13614 18152 20421 27228 36304 40842 54456 70339 81684 108912 140678 163368 211017 281356 326736 422034 562712 633051 844068 1125424 1266102 1688136 2532204 3376272 5064408 10128816