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10677612 = 22311233517
BaseRepresentation
bin101000101110…
…110101101100
3202002110221010
4220232311230
510213140422
61020505220
7156521031
oct50566554
922073833
1010677612
116033280
1236ab210
13229b11a
1415bd388
15e0db0c
hexa2ed6c

10677612 has 48 divisors (see below), whose sum is σ = 28369152. Its totient is φ = 3094080.

The previous prime is 10677607. The next prime is 10677647. The reversal of 10677612 is 21677601.

It is a happy number.

It is a super-2 number, since 2×106776122 = 228022796045088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10677612.

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, 1278 + ... + 4794.

It is an arithmetic number, because the mean of its divisors is an integer number (591024).

Almost surely, 210677612 is an apocalyptic number.

10677612 is a gapful number since it is divisible by the number (12) 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 10677612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184576).

10677612 is an abundant number, since it is smaller than the sum of its proper divisors (17691540).

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

10677612 is a wasteful number, since it uses less digits than its factorization.

10677612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10677612 is about 3267.6615491816. The cubic root of 10677612 is about 220.2037506342.

The spelling of 10677612 in words is "ten million, six hundred seventy-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3517 7034 10551 14068 21102 38687 42204 77374 80891 116061 154748 161782 232122 242673 323564 464244 485346 889801 970692 1779602 2669403 3559204 5338806 10677612