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5970320 = 245372017
BaseRepresentation
bin10110110001100110010000
3102020022201222
4112301212100
53012022240
6331544212
7101514116
oct26614620
912208658
105970320
113408654
121bbb068
131310645
14b15ab6
157cdeb5
hex5b1990

5970320 has 40 divisors (see below), whose sum is σ = 14263224. Its totient is φ = 2322432.

The previous prime is 5970301. The next prime is 5970329. The reversal of 5970320 is 230795.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 3254416 = 1648^2 + 1804^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5970320.

It is not an unprimeable number, because it can be changed into a prime (5970329) 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, 1952 + ... + 3968.

Almost surely, 25970320 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 5970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131612).

5970320 is an abundant number, since it is smaller than the sum of its proper divisors (8292904).

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

5970320 is a wasteful number, since it uses less digits than its factorization.

5970320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 5970320 is about 2443.4238273374. The cubic root of 5970320 is about 181.4119408805.

The spelling of 5970320 in words is "five million, nine hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2017 2960 4034 8068 10085 16136 20170 32272 40340 74629 80680 149258 161360 298516 373145 597032 746290 1194064 1492580 2985160 5970320