Search a number
-
+
701090964 = 223771072
BaseRepresentation
bin101001110010011…
…100110010010100
31210212020010000000
4221302130302110
52413434402324
6153322451300
723242113660
oct5162346224
91725203000
10701090964
1132a825022
12176963b30
13b2331b32
146917d8a0
154183a9c9
hex29c9cc94

701090964 has 144 divisors (see below), whose sum is σ = 2122789760. Its totient is φ = 198439632.

The previous prime is 701090893. The next prime is 701090987. The reversal of 701090964 is 469090107.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6552199 + ... + 6552305.

Almost surely, 2701090964 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 701090964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061394880).

701090964 is an abundant number, since it is smaller than the sum of its proper divisors (1421698796).

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

701090964 is an equidigital number, since it uses as much as digits as its factorization.

701090964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 701090964 is about 26478.1223654548. The cubic root of 701090964 is about 888.3650343642.

The spelling of 701090964 in words is "seven hundred one million, ninety thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 189 214 243 252 321 324 378 428 486 567 642 729 749 756 963 972 1134 1284 1458 1498 1701 1926 2187 2247 2268 2889 2916 2996 3402 3852 4374 4494 5103 5778 6741 6804 8667 8748 8988 10206 11449 11556 13482 15309 17334 20223 20412 22898 26001 26964 30618 34347 34668 40446 45796 52002 60669 61236 68694 78003 80143 80892 103041 104004 121338 137388 156006 160286 182007 206082 234009 240429 242676 309123 312012 320572 364014 412164 468018 480858 546021 618246 721287 728028 927369 936036 961716 1092042 1236492 1442574 1638063 1854738 2163861 2184084 2782107 2885148 3276126 3709476 4327722 5564214 6491583 6552252 8346321 8655444 11128428 12983166 16692642 19474749 25038963 25966332 33385284 38949498 50077926 58424247 77898996 100155852 116848494 175272741 233696988 350545482 701090964