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10468416 = 26377789
BaseRepresentation
bin100111111011…
…110001000000
3201200211222010
4213323301000
510134442131
61012212520
7154660110
oct47736100
921624863
1010468416
115a00092
12360a140
132226b3a
141567040
15dbbb46
hex9fbc40

10468416 has 56 divisors (see below), whose sum is σ = 31658560. Its totient is φ = 2990592.

The previous prime is 10468387. The next prime is 10468417. The reversal of 10468416 is 61486401.

10468416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (10468417) 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, 2551 + ... + 5238.

Almost surely, 210468416 is an apocalyptic number.

10468416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10468416 is an abundant number, since it is smaller than the sum of its proper divisors (21190144).

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

10468416 is an equidigital number, since it uses as much as digits as its factorization.

10468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10468416 is about 3235.4931617916. The cubic root of 10468416 is about 218.7561765875.

The spelling of 10468416 in words is "ten million, four hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7789 15578 23367 31156 46734 54523 62312 93468 109046 124624 163569 186936 218092 249248 327138 373872 436184 498496 654276 747744 872368 1308552 1495488 1744736 2617104 3489472 5234208 10468416