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10676904 = 233731297
BaseRepresentation
bin101000101110…
…101010101000
3202002102221220
4220232222220
510213130104
61020502040
7156516000
oct50565250
922072856
1010676904
116032797
1236aa920
13229a9c4
1415bd000
15e0d7d9
hexa2eaa8

10676904 has 64 divisors (see below), whose sum is σ = 31152000. Its totient is φ = 3048192.

The previous prime is 10676881. The next prime is 10676921. The reversal of 10676904 is 40967601.

It is a happy number.

It is a super-2 number, since 2×106769042 = 227992558050432, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7584 + ... + 8880.

It is an arithmetic number, because the mean of its divisors is an integer number (486750).

Almost surely, 210676904 is an apocalyptic number.

10676904 is a gapful number since it is divisible by the number (14) 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 10676904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576000).

10676904 is an abundant number, since it is smaller than the sum of its proper divisors (20475096).

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

10676904 is a wasteful number, since it uses less digits than its factorization.

10676904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10676904 is about 3267.5532130327. The cubic root of 10676904 is about 220.1988835128.

The spelling of 10676904 in words is "ten million, six hundred seventy-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1297 1372 2058 2594 2744 3891 4116 5188 7782 8232 9079 10376 15564 18158 27237 31128 36316 54474 63553 72632 108948 127106 190659 217896 254212 381318 444871 508424 762636 889742 1334613 1525272 1779484 2669226 3558968 5338452 10676904