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10468395 = 3257167199
BaseRepresentation
bin100111111011…
…110000101011
3201200211221100
4213323300223
510134442040
61012212443
7154660050
oct47736053
921624840
1010468395
115a00073
12360a123
132226b22
141567027
15dbbb30
hex9fbc2b

10468395 has 48 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 4732992.

The previous prime is 10468387. The next prime is 10468417. The reversal of 10468395 is 59386401.

10468395 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10468395 - 23 = 10468387 is a prime.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52506 + ... + 52704.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 210468395 is an apocalyptic number.

10468395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10468395 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10468395 is a wasteful number, since it uses less digits than its factorization.

10468395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10468395 is about 3235.4899165351. The cubic root of 10468395 is about 218.7560303100.

The spelling of 10468395 in words is "ten million, four hundred sixty-eight thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 167 199 315 501 597 835 995 1169 1393 1503 1791 2505 2985 3507 4179 5845 6965 7515 8955 10521 12537 17535 20895 33233 52605 62685 99699 166165 232631 299097 498495 697893 1163155 1495485 2093679 3489465 10468395