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10816768 = 28293147
BaseRepresentation
bin101001010000…
…110100000000
3202100112211001
4221100310000
510232114033
61023501344
7160640524
oct51206400
922315731
1010816768
116118886
123757854
132319571
141617d84
15e39e7d
hexa50d00

10816768 has 72 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 4945920.

The previous prime is 10816763. The next prime is 10816769. The reversal of 10816768 is 86761801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10816763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230121 + ... + 230167.

It is an arithmetic number, because the mean of its divisors is an integer number (327040).

Almost surely, 210816768 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 10816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

10816768 is an abundant number, since it is smaller than the sum of its proper divisors (12730112).

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

10816768 is an equidigital number, since it uses as much as digits as its factorization.

10816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 10816768 is about 3288.8855255238. The cubic root of 10816768 is about 221.1562267663.

The spelling of 10816768 in words is "ten million, eight hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 31 32 47 58 62 64 94 116 124 128 188 232 248 256 376 464 496 752 899 928 992 1363 1457 1504 1798 1856 1984 2726 2914 3008 3596 3712 3968 5452 5828 6016 7192 7424 7936 10904 11656 12032 14384 21808 23312 28768 42253 43616 46624 57536 84506 87232 93248 115072 169012 174464 186496 230144 338024 348928 372992 676048 1352096 2704192 5408384 10816768