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10964052 = 2233112839
BaseRepresentation
bin101001110100…
…110001010100
3202122000212000
4221310301110
510301322202
61030555300
7162123111
oct51646124
922560760
1010964052
116209500
123808b30
13236b608
141655908
15e6891c
hexa74c54

10964052 has 72 divisors (see below), whose sum is σ = 31281600. Its totient is φ = 3318480.

The previous prime is 10964047. The next prime is 10964053. The reversal of 10964052 is 25046901.

10964052 is a `hidden beast` number, since 10 + 9 + 640 + 5 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964053) by changing a digit.

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, 12649 + ... + 13487.

Almost surely, 210964052 is an apocalyptic number.

10964052 is a gapful number since it is divisible by the number (12) 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 10964052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640800).

10964052 is an abundant number, since it is smaller than the sum of its proper divisors (20317548).

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

10964052 is a wasteful number, since it uses less digits than its factorization.

10964052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10964052 is about 3311.2009905773. The cubic root of 10964052 is about 222.1554791043.

The spelling of 10964052 in words is "ten million, nine hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 839 1089 1188 1452 1678 2178 2517 3267 3356 4356 5034 6534 7551 9229 10068 13068 15102 18458 22653 27687 30204 36916 45306 55374 83061 90612 101519 110748 166122 203038 249183 304557 332244 406076 498366 609114 913671 996732 1218228 1827342 2741013 3654684 5482026 10964052