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5662960 = 24571997
BaseRepresentation
bin10101100110100011110000
3101122201010021
4111212203300
52422203320
6321213224
766064042
oct25464360
911581107
105662960
113218736
121a91214
131233784
14a75a92
1576cdaa
hex5668f0

5662960 has 40 divisors (see below), whose sum is σ = 13365216. Its totient is φ = 2231040.

The previous prime is 5662933. The next prime is 5662963. The reversal of 5662960 is 692665.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662963) 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 7 ways as a sum of consecutive naturals, for example, 5182 + ... + 6178.

Almost surely, 25662960 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 5662960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682608).

5662960 is an abundant number, since it is smaller than the sum of its proper divisors (7702256).

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

5662960 is a wasteful number, since it uses less digits than its factorization.

5662960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 5662960 is about 2379.6974597625. The cubic root of 5662960 is about 178.2438269406.

The spelling of 5662960 in words is "five million, six hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 997 1136 1420 1994 2840 3988 4985 5680 7976 9970 15952 19940 39880 70787 79760 141574 283148 353935 566296 707870 1132592 1415740 2831480 5662960