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713960442 = 2321323167113
BaseRepresentation
bin101010100011100…
…010101111111010
31211202102221121100
4222203202233322
52430233213232
6154502352230
723456364216
oct5243425772
91752387540
10713960442
11337015058
1217b12b676
13b4bb9800
146ab6d946
1542a2dc7c
hex2a8e2bfa

713960442 has 144 divisors (see below), whose sum is σ = 1770432768. Its totient is φ = 207567360.

The previous prime is 713960437. The next prime is 713960477. The reversal of 713960442 is 244069317.

713960442 is a `hidden beast` number, since 7 + 1 + 3 + 9 + 604 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 713960397 and 713960406.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6318178 + ... + 6318290.

It is an arithmetic number, because the mean of its divisors is an integer number (12294672).

Almost surely, 2713960442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713960442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885216384).

713960442 is an abundant number, since it is smaller than the sum of its proper divisors (1056472326).

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

713960442 is a wasteful number, since it uses less digits than its factorization.

713960442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 713960442 is about 26720.0382110505. The cubic root of 713960442 is about 893.7678255398.

The spelling of 713960442 in words is "seven hundred thirteen million, nine hundred sixty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 67 78 93 113 117 134 169 186 201 226 234 279 338 339 402 403 507 558 603 678 806 871 1014 1017 1206 1209 1469 1521 1742 2034 2077 2418 2613 2938 3042 3503 3627 4154 4407 5226 5239 6231 7006 7254 7571 7839 8814 10478 10509 11323 12462 13221 15142 15678 15717 18693 19097 21018 22646 22713 26442 27001 31434 31527 33969 37386 38194 45426 45539 47151 54002 57291 63054 67938 68139 81003 91078 94302 98423 101907 114582 136278 136617 162006 171873 196846 203814 234701 243009 273234 295269 343746 351013 409851 469402 486018 590538 592007 702026 704103 819702 885807 1053039 1184014 1279499 1408206 1771614 1776021 2106078 2112309 2558998 3051113 3159117 3552042 3838497 4224618 5328063 6102226 6318234 7676994 9153339 10656126 11515491 18306678 23030982 27460017 39664469 54920034 79328938 118993407 237986814 356980221 713960442