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10651968 = 263218493
BaseRepresentation
bin101000101000…
…100101000000
3202001011202100
4220220211000
510211330333
61020150400
7156353205
oct50504500
922034670
1010651968
116015a88
123698400
13228c552
1415b3cac
15e06213
hexa28940

10651968 has 42 divisors (see below), whose sum is σ = 30533594. Its totient is φ = 3550464.

The previous prime is 10651937. The next prime is 10651981. The reversal of 10651968 is 86915601.

It can be written as a sum of positive squares in only one way, i.e., 8714304 + 1937664 = 2952^2 + 1392^2 .

It is a super-2 number, since 2×106519682 = 226928844546048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8671 + ... + 9822.

Almost surely, 210651968 is an apocalyptic number.

10651968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10651968 is an abundant number, since it is smaller than the sum of its proper divisors (19881626).

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

10651968 is a wasteful number, since it uses less digits than its factorization.

10651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18511 (or 18498 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10651968 is about 3263.7352833831. The cubic root of 10651968 is about 220.0273244298.

The spelling of 10651968 in words is "ten million, six hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18493 36986 55479 73972 110958 147944 166437 221916 295888 332874 443832 591776 665748 887664 1183552 1331496 1775328 2662992 3550656 5325984 10651968