Search a number
-
+
70305696 = 25321012417
BaseRepresentation
bin1000011000011…
…00011110100000
311220021220021200
410030030132200
5120444240241
610550521200
71512405606
oct414143640
9156256250
1070305696
113675a78a
121b666200
1311747a06
1494a1876
15628b4b6
hex430c7a0

70305696 has 72 divisors (see below), whose sum is σ = 201994884. Its totient is φ = 23193600.

The previous prime is 70305689. The next prime is 70305707. The reversal of 70305696 is 69650307.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47610000 + 22695696 = 6900^2 + 4764^2 .

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 alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 70305696.

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, 27880 + ... + 30296.

Almost surely, 270305696 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 70305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100997442).

70305696 is an abundant number, since it is smaller than the sum of its proper divisors (131689188).

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

70305696 is a wasteful number, since it uses less digits than its factorization.

70305696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 70305696 is about 8384.8491936349. The cubic root of 70305696 is about 412.7275923117.

The spelling of 70305696 in words is "seventy million, three hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2417 2424 3232 3636 4834 4848 7251 7272 9668 9696 14502 14544 19336 21753 29004 29088 38672 43506 58008 77344 87012 116016 174024 232032 244117 348048 488234 696096 732351 976468 1464702 1952936 2197053 2929404 3905872 4394106 5858808 7811744 8788212 11717616 17576424 23435232 35152848 70305696