Search a number
-
+
10656940 = 2257163467
BaseRepresentation
bin101000101001…
…110010101100
3202001102120111
4220221302230
510212010230
61020225404
7156403540
oct50516254
922042514
1010656940
116019798
12369b264
1322918a8
1415b5a20
15e0792a
hexa29cac

10656940 has 48 divisors (see below), whose sum is σ = 25788672. Its totient is φ = 3623616.

The previous prime is 10656923. The next prime is 10657013. The reversal of 10656940 is 4965601.

It is a super-2 number, since 2×106569402 = 227140740327200, 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 15 ways as a sum of consecutive naturals, for example, 22587 + ... + 23053.

It is an arithmetic number, because the mean of its divisors is an integer number (537264).

Almost surely, 210656940 is an apocalyptic number.

10656940 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 10656940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894336).

10656940 is an abundant number, since it is smaller than the sum of its proper divisors (15131732).

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

10656940 is a wasteful number, since it uses less digits than its factorization.

10656940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 10656940 is about 3264.4968984516. The cubic root of 10656940 is about 220.0615530246.

The spelling of 10656940 in words is "ten million, six hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 467 652 815 934 1141 1630 1868 2282 2335 3260 3269 4564 4670 5705 6538 9340 11410 13076 16345 22820 32690 65380 76121 152242 304484 380605 532847 761210 1065694 1522420 2131388 2664235 5328470 10656940