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5682960 = 24345877
BaseRepresentation
bin10101101011011100010000
3101200201120000
4111223130100
52423323320
6321450000
766206253
oct25533420
911621500
105682960
113231768
121aa0900
13123c8ca
14a7d09a
15773c90
hex56b710

5682960 has 100 divisors (see below), whose sum is σ = 19760268. Its totient is φ = 1513728.

The previous prime is 5682953. The next prime is 5682961. The reversal of 5682960 is 692865.

5682960 is a `hidden beast` number, since 568 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 2178576 = 1872^2 + 1476^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5682961) 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 19 ways as a sum of consecutive naturals, for example, 6042 + ... + 6918.

Almost surely, 25682960 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 5682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880134).

5682960 is an abundant number, since it is smaller than the sum of its proper divisors (14077308).

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

5682960 is a wasteful number, since it uses less digits than its factorization.

5682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5682960 is about 2383.8959708846. The cubic root of 5682960 is about 178.4534162741.

The spelling of 5682960 in words is "five million, six hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 877 1080 1296 1620 1754 2160 2631 3240 3508 4385 5262 6480 7016 7893 8770 10524 13155 14032 15786 17540 21048 23679 26310 31572 35080 39465 42096 47358 52620 63144 70160 71037 78930 94716 105240 118395 126288 142074 157860 189432 210480 236790 284148 315720 355185 378864 473580 568296 631440 710370 947160 1136592 1420740 1894320 2841480 5682960