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716340520 = 235723412713
BaseRepresentation
bin101010101100100…
…111110100101000
31211220220212110101
4222230213310220
52431340344040
6155025355144
723515536220
oct5254476450
91756825411
10716340520
113383a0265
1217ba98ab4
13b5540c3c
146b1cd080
1542d4e09a
hex2ab27d28

716340520 has 128 divisors (see below), whose sum is σ = 1969712640. Its totient is φ = 229109760.

The previous prime is 716340511. The next prime is 716340551. The reversal of 716340520 is 25043617.

716340520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262684 + ... + 265396.

It is an arithmetic number, because the mean of its divisors is an integer number (15388380).

Almost surely, 2716340520 is an apocalyptic number.

716340520 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 716340520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984856320).

716340520 is an abundant number, since it is smaller than the sum of its proper divisors (1253372120).

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

716340520 is a wasteful number, since it uses less digits than its factorization.

716340520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 716340520 is about 26764.5384791145. The cubic root of 716340520 is about 894.7598868999.

The spelling of 716340520 in words is "seven hundred sixteen million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 41 46 56 70 82 92 115 140 161 164 184 205 230 280 287 322 328 410 460 574 644 805 820 920 943 1148 1288 1435 1610 1640 1886 2296 2713 2870 3220 3772 4715 5426 5740 6440 6601 7544 9430 10852 11480 13202 13565 18860 18991 21704 26404 27130 33005 37720 37982 52808 54260 62399 66010 75964 94955 108520 111233 124798 132020 151928 189910 222466 249596 264040 311995 379820 436793 444932 499192 556165 623990 759640 778631 873586 889864 1112330 1247980 1557262 1747172 2183965 2224660 2495960 2558359 3114524 3494344 3893155 4367930 4449320 5116718 6229048 7786310 8735860 10233436 12791795 15572620 17471720 17908513 20466872 25583590 31145240 35817026 51167180 71634052 89542565 102334360 143268104 179085130 358170260 716340520