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716017104 = 243311891693
BaseRepresentation
bin101010101011011…
…000110111010000
31211220022102211000
4222223120313100
52431300021404
6155014422000
723513021265
oct5253306720
91756272730
10716017104
1133819a280
1217b961900
13b545997a
146b14726c
1542cd8339
hex2aad8dd0

716017104 has 160 divisors (see below), whose sum is σ = 2268604800. Its totient is φ = 214410240.

The previous prime is 716017103. The next prime is 716017111. The reversal of 716017104 is 401710617.

716017104 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716017103) 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, 422082 + ... + 423774.

It is an arithmetic number, because the mean of its divisors is an integer number (14178780).

Almost surely, 2716017104 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 716017104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134302400).

716017104 is an abundant number, since it is smaller than the sum of its proper divisors (1552587696).

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

716017104 is a wasteful number, since it uses less digits than its factorization.

716017104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 716017104 is about 26758.4959218563. The cubic root of 716017104 is about 894.6252101568.

The spelling of 716017104 in words is "seven hundred sixteen million, seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 89 99 108 132 144 176 178 198 216 264 267 297 356 396 432 528 534 594 712 792 801 979 1068 1188 1424 1584 1602 1693 1958 2136 2376 2403 2937 3204 3386 3916 4272 4752 4806 5079 5874 6408 6772 7832 8811 9612 10158 11748 12816 13544 15237 15664 17622 18623 19224 20316 23496 26433 27088 30474 35244 37246 38448 40632 45711 46992 52866 55869 60948 70488 74492 81264 91422 105732 111738 121896 140976 148984 150677 167607 182844 211464 223476 243792 297968 301354 335214 365688 422928 446952 452031 502821 602708 670428 731376 893904 904062 1005642 1205416 1340856 1356093 1657447 1808124 2011284 2410832 2681712 2712186 3314894 3616248 4022568 4068279 4972341 5424372 6629788 7232496 8045136 8136558 9944682 10848744 13259576 14917023 16273116 19889364 21697488 26519152 29834046 32546232 39778728 44751069 59668092 65092464 79557456 89502138 119336184 179004276 238672368 358008552 716017104