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711968320 = 26573110253
BaseRepresentation
bin101010011011111…
…100011001000000
31211121200201221001
4222123330121000
52424230441240
6154351541344
723433426250
oct5233743100
91747621831
10711968320
11335984378
1217a52a854
13b466cb3b
146a7b1960
154278889a
hex2a6fc640

711968320 has 112 divisors (see below), whose sum is σ = 2000268288. Its totient is φ = 236206080.

The previous prime is 711968317. The next prime is 711968371. The reversal of 711968320 is 23869117.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 711968320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64314 + ... + 74566.

Almost surely, 2711968320 is an apocalyptic number.

711968320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 711968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000134144).

711968320 is an abundant number, since it is smaller than the sum of its proper divisors (1288299968).

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

711968320 is a wasteful number, since it uses less digits than its factorization.

711968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10308 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 711968320 is about 26682.7344925515. The cubic root of 711968320 is about 892.9357751822.

The spelling of 711968320 in words is "seven hundred eleven million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 10253 13888 17360 20506 34720 41012 51265 69440 71771 82024 102530 143542 164048 205060 287084 317843 328096 358855 410120 574168 635686 656192 717710 820240 1148336 1271372 1435420 1589215 1640480 2224901 2296672 2542744 2870840 3178430 3280960 4449802 4593344 5085488 5741680 6356860 8899604 10170976 11124505 11483360 12713720 17799208 20341952 22249010 22966720 25427440 35598416 44498020 50854880 71196832 88996040 101709760 142393664 177992080 355984160 711968320