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5900960 = 255132837
BaseRepresentation
bin10110100000101010100000
3102002210121002
4112200222200
53002312320
6330251132
7101104652
oct26405240
912083532
105900960
11337052a
121b86aa8
1312b7bc0
14ad86d2
157b8675
hex5a0aa0

5900960 has 48 divisors (see below), whose sum is σ = 15018696. Its totient is φ = 2178048.

The previous prime is 5900959. The next prime is 5900969. The reversal of 5900960 is 690095.

It can be written as a sum of positive squares in 4 ways, for example, as 1948816 + 3952144 = 1396^2 + 1988^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5900969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662 + ... + 3498.

Almost surely, 25900960 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 5900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509348).

5900960 is an abundant number, since it is smaller than the sum of its proper divisors (9117736).

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

5900960 is a wasteful number, since it uses less digits than its factorization.

5900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 5900960 is about 2429.1891651331. The cubic root of 5900960 is about 180.7066869097.

The spelling of 5900960 in words is "five million, nine hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2837 5674 11348 14185 22696 28370 36881 45392 56740 73762 90784 113480 147524 184405 226960 295048 368810 453920 590096 737620 1180192 1475240 2950480 5900960