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10675368 = 2333114493
BaseRepresentation
bin101000101110…
…010010101000
3202002100212000
4220232102220
510213102433
61020451000
7156511344
oct50562250
922070760
1010675368
116031620
1236a9a60
13229a0b2
1415bc624
15e0d113
hexa2e4a8

10675368 has 64 divisors (see below), whose sum is σ = 32356800. Its totient is φ = 3234240.

The previous prime is 10675367. The next prime is 10675369. The reversal of 10675368 is 86357601.

It is an interprime number because it is at equal distance from previous prime (10675367) and next prime (10675369).

It is a super-2 number, since 2×106753682 = 227926963870848, which contains 22 as substring.

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 (10675367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130 + ... + 4622.

It is an arithmetic number, because the mean of its divisors is an integer number (505575).

Almost surely, 210675368 is an apocalyptic number.

10675368 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 10675368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178400).

10675368 is an abundant number, since it is smaller than the sum of its proper divisors (21681432).

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

10675368 is a wasteful number, since it uses less digits than its factorization.

10675368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 10675368 is about 3267.3181663254. The cubic root of 10675368 is about 220.1883235944.

The spelling of 10675368 in words is "ten million, six hundred seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4493 8986 13479 17972 26958 35944 40437 49423 53916 80874 98846 107832 121311 148269 161748 197692 242622 296538 323496 395384 444807 485244 593076 889614 970488 1186152 1334421 1779228 2668842 3558456 5337684 10675368