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5980320 = 253254153
BaseRepresentation
bin10110110100000010100000
3102020211110100
4112310002200
53012332240
6332102400
7101555223
oct26640240
912224410
105980320
113415115
122004a00
131315068
14b195ba
157d1e30
hex5b40a0

5980320 has 72 divisors (see below), whose sum is σ = 20412756. Its totient is φ = 1594368.

The previous prime is 5980319. The next prime is 5980321. The reversal of 5980320 is 230895.

It is an interprime number because it is at equal distance from previous prime (5980319) and next prime (5980321).

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 944784 = 2244^2 + 972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5980321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 3516.

Almost surely, 25980320 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 5980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206378).

5980320 is an abundant number, since it is smaller than the sum of its proper divisors (14432436).

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

5980320 is a wasteful number, since it uses less digits than its factorization.

5980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4163 counting only the distinct ones).

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

The square root of 5980320 is about 2445.4692801178. The cubic root of 5980320 is about 181.5131698205.

The spelling of 5980320 in words is "five million, nine hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4153 8306 12459 16612 20765 24918 33224 37377 41530 49836 62295 66448 74754 83060 99672 124590 132896 149508 166120 186885 199344 249180 299016 332240 373770 398688 498360 598032 664480 747540 996720 1196064 1495080 1993440 2990160 5980320