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970011252 = 223272975669
BaseRepresentation
bin111001110100010…
…011001001110100
32111121020200021200
4321310103021310
53441310330002
6240130412500
733015650100
oct7164231164
92447220250
10970011252
114586008a1
12230a31130
13125c6a372
1492b82900
155a25ab1c
hex39d13274

970011252 has 108 divisors (see below), whose sum is σ = 2882208420. Its totient is φ = 274240512.

The previous prime is 970011241. The next prime is 970011281. The reversal of 970011252 is 252110079.

970011252 is digitally balanced in base 2, 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 330730596 + 639280656 = 18186^2 + 25284^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168274 + ... + 173942.

It is an arithmetic number, because the mean of its divisors is an integer number (26687115).

Almost surely, 2970011252 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 970011252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441104210).

970011252 is an abundant number, since it is smaller than the sum of its proper divisors (1912197168).

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

970011252 is a wasteful number, since it uses less digits than its factorization.

970011252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 970011252 is about 31145.0036442444. The cubic root of 970011252 is about 989.9021268411.

The spelling of 970011252 in words is "nine hundred seventy million, eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 873 882 1164 1358 1746 1764 2037 2716 3492 4074 4753 5669 6111 8148 9506 11338 12222 14259 17007 19012 22676 24444 28518 34014 39683 42777 51021 57036 68028 79366 85554 102042 119049 158732 171108 204084 238098 277781 357147 476196 549893 555562 714294 833343 1099786 1111124 1428588 1649679 1666686 2199572 2500029 3299358 3333372 3849251 4949037 5000058 6598716 7698502 9898074 10000116 11547753 15397004 19796148 23095506 26944757 34643259 46191012 53889514 69286518 80834271 107779028 138573036 161668542 242502813 323337084 485005626 970011252