Search a number
-
+
716070124 = 227311172791
BaseRepresentation
bin101010101011100…
…101110011101100
31211220102010112201
4222223211303230
52431303220444
6155015511244
723513332000
oct5253456354
91756363481
10716070124
113382260a0
1217b988524
13b5477b43
146b15c700
1542ce8dd4
hex2aae5cec

716070124 has 96 divisors (see below), whose sum is σ = 1688601600. Its totient is φ = 262483200.

The previous prime is 716070083. The next prime is 716070127. The reversal of 716070124 is 421070617.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 716070092 and 716070101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716070127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255169 + ... + 257959.

It is an arithmetic number, because the mean of its divisors is an integer number (17589600).

Almost surely, 2716070124 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 716070124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844300800).

716070124 is an abundant number, since it is smaller than the sum of its proper divisors (972531476).

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

716070124 is a wasteful number, since it uses less digits than its factorization.

716070124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 716070124 is about 26759.4866168991. The cubic root of 716070124 is about 894.6472914999.

It can be divided in two parts, 7160 and 70124, that added together give a square (77284 = 2782).

The spelling of 716070124 in words is "seven hundred sixteen million, seventy thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 343 374 476 539 686 748 833 1078 1309 1372 1666 2156 2618 2791 3332 3773 5236 5582 5831 7546 9163 11164 11662 15092 18326 19537 23324 30701 36652 39074 47447 61402 64141 78148 94894 122804 128282 136759 189788 214907 256564 273518 332129 429814 521917 547036 664258 859628 957313 1043834 1328516 1504349 1914626 2087668 2324903 3008698 3653419 3829252 4649806 6017396 7306838 9299612 10530443 14613676 16274321 21060886 25573933 32548642 42121772 51147866 65097284 102295732 179017531 358035062 716070124