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10676048 = 242367433
BaseRepresentation
bin101000101110…
…011101010000
3202002101210012
4220232131100
510213113143
61020454052
7156513335
oct50563520
922071705
1010676048
116032089
1236aa328
13229a4b6
1415bc98c
15e0d418
hexa2e750

10676048 has 40 divisors (see below), whose sum is σ = 21956928. Its totient is φ = 5018112.

The previous prime is 10676047. The next prime is 10676077. The reversal of 10676048 is 84067601.

It is a super-2 number, since 2×106760482 = 227956001796608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24440 + ... + 24872.

Almost surely, 210676048 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 10676048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978464).

10676048 is an abundant number, since it is smaller than the sum of its proper divisors (11280880).

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

10676048 is a wasteful number, since it uses less digits than its factorization.

10676048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 10676048 is about 3267.4222255472. The cubic root of 10676048 is about 220.1929986832.

The spelling of 10676048 in words is "ten million, six hundred seventy-six thousand, forty-eight".

Divisors: 1 2 4 8 16 23 46 67 92 134 184 268 368 433 536 866 1072 1541 1732 3082 3464 6164 6928 9959 12328 19918 24656 29011 39836 58022 79672 116044 159344 232088 464176 667253 1334506 2669012 5338024 10676048