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10675620 = 22325127467
BaseRepresentation
bin101000101110…
…010110100100
3202002101012100
4220232112210
510213104440
61020452100
7156512154
oct50562644
922071170
1010675620
11603182a
1236aa030
13229a247
1415bc764
15e0d230
hexa2e5a4

10675620 has 72 divisors (see below), whose sum is σ = 32707584. Its totient is φ = 2818368.

The previous prime is 10675603. The next prime is 10675661. The reversal of 10675620 is 2657601.

It is a super-2 number, since 2×106756202 = 227937724768800, 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 23 ways as a sum of consecutive naturals, for example, 22627 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (454272).

Almost surely, 210675620 is an apocalyptic number.

10675620 is a gapful number since it is divisible by the number (10) 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 10675620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353792).

10675620 is an abundant number, since it is smaller than the sum of its proper divisors (22031964).

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

10675620 is a wasteful number, since it uses less digits than its factorization.

10675620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10675620 is about 3267.3567298353. The cubic root of 10675620 is about 220.1900561505.

The spelling of 10675620 in words is "ten million, six hundred seventy-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 467 508 635 762 934 1143 1270 1401 1524 1868 1905 2286 2335 2540 2802 3810 4203 4572 4670 5604 5715 7005 7620 8406 9340 11430 14010 16812 21015 22860 28020 42030 59309 84060 118618 177927 237236 296545 355854 533781 593090 711708 889635 1067562 1186180 1779270 2135124 2668905 3558540 5337810 10675620