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10656380 = 2257103739
BaseRepresentation
bin101000101001…
…101001111100
3202001101210202
4220221221330
510212001010
61020223032
7156402110
oct50515174
922041722
1010656380
116019329
12369aa78
132291567
1415b5740
15e076a5
hexa29a7c

10656380 has 48 divisors (see below), whose sum is σ = 25858560. Its totient is φ = 3613248.

The previous prime is 10656379. The next prime is 10656413. The reversal of 10656380 is 8365601.

10656380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106563802 = 227116869408800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14051 + ... + 14789.

It is an arithmetic number, because the mean of its divisors is an integer number (538720).

Almost surely, 210656380 is an apocalyptic number.

10656380 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 10656380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929280).

10656380 is an abundant number, since it is smaller than the sum of its proper divisors (15202180).

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

10656380 is a wasteful number, since it uses less digits than its factorization.

10656380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 10656380 is about 3264.4111260685. The cubic root of 10656380 is about 220.0576983650.

The spelling of 10656380 in words is "ten million, six hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 739 1030 1442 1478 2060 2884 2956 3605 3695 5173 7210 7390 10346 14420 14780 20692 25865 51730 76117 103460 152234 304468 380585 532819 761170 1065638 1522340 2131276 2664095 5328190 10656380