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716534640 = 243352314423
BaseRepresentation
bin101010101101010…
…111001101110000
31211221021201202000
4222231113031300
52431413102030
6155033454000
723520305163
oct5255271560
91757251660
10716534640
11338513098
1217bb71300
13b55ab3c3
146b23dada
1542d8b860
hex2ab57370

716534640 has 160 divisors (see below), whose sum is σ = 2575549440. Its totient is φ = 182755584.

The previous prime is 716534603. The next prime is 716534647. The reversal of 716534640 is 46435617.

It is a happy number.

716534640 is a `hidden beast` number, since 7 + 1 + 6 + 5 + 3 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 716534595 and 716534604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716534647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42469 + ... + 56891.

It is an arithmetic number, because the mean of its divisors is an integer number (16097184).

Almost surely, 2716534640 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 716534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287774720).

716534640 is an abundant number, since it is smaller than the sum of its proper divisors (1859014800).

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

716534640 is a wasteful number, since it uses less digits than its factorization.

716534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 716534640 is about 26768.1646737314. The cubic root of 716534640 is about 894.8407027956.

The spelling of 716534640 in words is "seven hundred sixteen million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 14423 16560 24840 28846 43269 49680 57692 72115 86538 115384 129807 144230 173076 216345 230768 259614 288460 331729 346152 389421 432690 519228 576920 649035 663458 692304 778842 865380 995187 1038456 1153840 1298070 1326916 1557684 1658645 1730760 1947105 1990374 2076912 2596140 2653832 2985561 3115368 3317290 3461520 3894210 3980748 4975935 5192280 5307664 5971122 6230736 6634580 7788420 7961496 8956683 9951870 10384560 11942244 13269160 14927805 15576840 15922992 17913366 19903740 23884488 26538320 29855610 31153680 35826732 39807480 44783415 47768976 59711220 71653464 79614960 89566830 119422440 143306928 179133660 238844880 358267320 716534640