Search a number
-
+
70191716 = 22722953233
BaseRepresentation
bin1000010111100…
…00101001100100
311220002002221012
410023300221210
5120432113331
610544241352
71511422400
oct413605144
9156062835
1070191716
1136692091
121b610258
1311707b7a
149472100
15626782b
hex42f0a64

70191716 has 72 divisors (see below), whose sum is σ = 151252920. Its totient is φ = 28374528.

The previous prime is 70191683. The next prime is 70191731. The reversal of 70191716 is 61719107.

It can be written as a sum of positive squares in 4 ways, for example, as 8726116 + 61465600 = 2954^2 + 7840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301136 + ... + 301368.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 270191716 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 70191716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75626460).

70191716 is an abundant number, since it is smaller than the sum of its proper divisors (81061204).

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

70191716 is a wasteful number, since it uses less digits than its factorization.

70191716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 32.

The square root of 70191716 is about 8378.0496537082. The cubic root of 70191716 is about 412.5044328878.

It can be divided in two parts, 70191 and 716, that added together give a palindrome (70907).

The spelling of 70191716 in words is "seventy million, one hundred ninety-one thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 29 49 53 58 98 106 116 196 203 212 233 371 406 466 742 812 932 1421 1484 1537 1631 2597 2842 3074 3262 5194 5684 6148 6524 6757 10388 10759 11417 12349 13514 21518 22834 24698 27028 43036 45668 47299 49396 75313 86443 94598 150626 172886 189196 301252 331093 345772 358121 605101 662186 716242 1210202 1324372 1432484 2420404 2506847 5013694 10027388 17547929 35095858 70191716