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10366056 = 233417941
BaseRepresentation
bin100111100010…
…110001101000
3201111122120000
4213202301220
510123203211
61010103000
7154052511
oct47426150
921448500
1010366056
115940198
12357aa60
1321bc37c
14153ba08
15d9b656
hex9e2c68

10366056 has 80 divisors (see below), whose sum is σ = 30775140. Its totient is φ = 3248640.

The previous prime is 10366033. The next prime is 10366061. The reversal of 10366056 is 65066301.

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 443556 = 3150^2 + 666^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 10546 + ... + 11486.

Almost surely, 210366056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10366056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15387570).

10366056 is an abundant number, since it is smaller than the sum of its proper divisors (20409084).

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

10366056 is a wasteful number, since it uses less digits than its factorization.

10366056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10366056 is about 3219.6360042713. The cubic root of 10366056 is about 218.0408418835.

The spelling of 10366056 in words is "ten million, three hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 941 1224 1377 1836 1882 2754 2823 3672 3764 5508 5646 7528 8469 11016 11292 15997 16938 22584 25407 31994 33876 47991 50814 63988 67752 76221 95982 101628 127976 143973 152442 191964 203256 287946 304884 383928 431919 575892 609768 863838 1151784 1295757 1727676 2591514 3455352 5183028 10366056