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5965056 = 2833863
BaseRepresentation
bin10110110000010100000000
3102020001112000
4112300110000
53011340211
6331504000
7101462556
oct26602400
912201460
105965056
1134046a9
121bb8000
13130b126
14b13bd6
157cc656
hex5b0500

5965056 has 72 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1986048.

The previous prime is 5965021. The next prime is 5965067. The reversal of 5965056 is 6505695.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5965056.

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 7 ways as a sum of consecutive naturals, for example, 6481 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 25965056 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 5965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5965056 is an abundant number, since it is smaller than the sum of its proper divisors (11695104).

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

5965056 is an equidigital number, since it uses as much as digits as its factorization.

5965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5965056 is about 2442.3464127760. The cubic root of 5965056 is about 181.3586085491.

The spelling of 5965056 in words is "five million, nine hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 863 864 1152 1726 1728 2304 2589 3452 3456 5178 6904 6912 7767 10356 13808 15534 20712 23301 27616 31068 41424 46602 55232 62136 82848 93204 110464 124272 165696 186408 220928 248544 331392 372816 497088 662784 745632 994176 1491264 1988352 2982528 5965056