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7068960 = 253254909
BaseRepresentation
bin11010111101110100100000
3111022010210100
4122331310200
53302201320
6411302400
7114041133
oct32756440
914263710
107068960
113a99018
12244aa00
131606722
14d2021a
15949790
hex6bdd20

7068960 has 72 divisors (see below), whose sum is σ = 24127740. Its totient is φ = 1884672.

The previous prime is 7068959. The next prime is 7068983. The reversal of 7068960 is 698607.

7068960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 535824 = 2556^2 + 732^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1015 + ... + 3894.

Almost surely, 27068960 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 7068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12063870).

7068960 is an abundant number, since it is smaller than the sum of its proper divisors (17058780).

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

7068960 is a wasteful number, since it uses less digits than its factorization.

7068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7068960 is about 2658.7515867414. The cubic root of 7068960 is about 191.9192368658.

The spelling of 7068960 in words is "seven million, sixty-eight thousand, nine hundred sixty".

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 4909 9818 14727 19636 24545 29454 39272 44181 49090 58908 73635 78544 88362 98180 117816 147270 157088 176724 196360 220905 235632 294540 353448 392720 441810 471264 589080 706896 785440 883620 1178160 1413792 1767240 2356320 3534480 7068960