Search a number
-
+
70140456 = 233237113233
BaseRepresentation
bin1000010111001…
…00001000101000
311212222111121200
410023210020220
5120423443311
610543204200
71511120061
oct413441050
9155874550
1070140456
1136657621
121b5a6660
13116ba739
14945b568
156257556
hex42e4228

70140456 has 96 divisors (see below), whose sum is σ = 197669160. Its totient is φ = 22450176.

The previous prime is 70140451. The next prime is 70140461. The reversal of 70140456 is 65404107.

70140456 is a `hidden beast` number, since 70 + 140 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (70140451) and next prime (70140461).

It can be written as a sum of positive squares in 4 ways, for example, as 44435556 + 25704900 = 6666^2 + 5070^2 .

It is not an unprimeable number, because it can be changed into a prime (70140451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300916 + ... + 301148.

Almost surely, 270140456 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 70140456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98834580).

70140456 is an abundant number, since it is smaller than the sum of its proper divisors (127528704).

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

70140456 is a wasteful number, since it uses less digits than its factorization.

70140456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 70140456 is about 8374.9899104417. The cubic root of 70140456 is about 412.4039930837.

The spelling of 70140456 in words is "seventy million, one hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 113 148 222 226 233 296 333 339 444 452 466 666 678 699 888 904 932 1017 1332 1356 1398 1864 2034 2097 2664 2712 2796 4068 4181 4194 5592 8136 8362 8388 8621 12543 16724 16776 17242 25086 25863 26329 33448 34484 37629 50172 51726 52658 68968 75258 77589 78987 100344 103452 105316 150516 155178 157974 206904 210632 236961 301032 310356 315948 473922 620712 631896 947844 974173 1895688 1948346 2922519 3896692 5845038 7793384 8767557 11690076 17535114 23380152 35070228 70140456