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10677684 = 2232961503
BaseRepresentation
bin101000101110…
…110110110100
3202002111000210
4220232312310
510213141214
61020505420
7156521163
oct50566664
922074023
1010677684
116033336
1236ab270
13229b174
1415bd3da
15e0db59
hexa2edb4

10677684 has 48 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 3373440.

The previous prime is 10677673. The next prime is 10677697. The reversal of 10677684 is 48677601.

It is a super-2 number, since 2×106776842 = 228025871207712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20977 + ... + 21479.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 210677684 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 10677684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10677684 is an abundant number, since it is smaller than the sum of its proper divisors (15570636).

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

10677684 is a wasteful number, since it uses less digits than its factorization.

10677684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 10677684 is about 3267.6725662159. The cubic root of 10677684 is about 220.2042455837.

The spelling of 10677684 in words is "ten million, six hundred seventy-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 503 732 1006 1509 1769 2012 3018 3538 5307 6036 7076 10614 14587 21228 29174 30683 43761 58348 61366 87522 92049 122732 175044 184098 368196 889807 1779614 2669421 3559228 5338842 10677684