Search a number
-
+
70685824 = 271161823
BaseRepresentation
bin1000011011010…
…01010010000000
311221000012201111
410031221102000
5121043421244
611003013104
71515551056
oct415512200
9157005644
1070685824
113699a340
121b80a194
131184ba41
1495601d6
156313e34
hex4369480

70685824 has 64 divisors (see below), whose sum is σ = 156329280. Its totient is φ = 31564800.

The previous prime is 70685821. The next prime is 70685837. The reversal of 70685824 is 42858607.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (70685821) 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, 85477 + ... + 86299.

It is an arithmetic number, because the mean of its divisors is an integer number (2442645).

Almost surely, 270685824 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 70685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78164640).

70685824 is an abundant number, since it is smaller than the sum of its proper divisors (85643456).

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

70685824 is a wasteful number, since it uses less digits than its factorization.

70685824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 70685824 is about 8407.4861879161. The cubic root of 70685824 is about 413.4700992665.

The spelling of 70685824 in words is "seventy million, six hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 671 704 823 976 1342 1408 1646 1952 2684 3292 3904 5368 6584 7808 9053 10736 13168 18106 21472 26336 36212 42944 50203 52672 72424 85888 100406 105344 144848 200812 289696 401624 552233 579392 803248 1104466 1158784 1606496 2208932 3212992 4417864 6425984 8835728 17671456 35342912 70685824