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716481540 = 223252924733
BaseRepresentation
bin101010101101001…
…010010000000100
31211221012000220100
4222231022100010
52431404402130
6155032404100
723516664315
oct5255122004
91757160810
10716481540
11338487205
1217bb46630
13b5590198
146b22860c
1542d7ac60
hex2ab4a404

716481540 has 108 divisors (see below), whose sum is σ = 2251329444. Its totient is φ = 184434432.

The previous prime is 716481499. The next prime is 716481551. The reversal of 716481540 is 45184617.

It is a happy number.

716481540 is a `hidden beast` number, since 7 + 1 + 648 + 1 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34644996 + 681836544 = 5886^2 + 26112^2 .

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 = 716481495 and 716481504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149014 + ... + 153746.

It is an arithmetic number, because the mean of its divisors is an integer number (20845643).

Almost surely, 2716481540 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 716481540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125664722).

716481540 is an abundant number, since it is smaller than the sum of its proper divisors (1534847904).

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

716481540 is a wasteful number, since it uses less digits than its factorization.

716481540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 716481540 is about 26767.1728055094. The cubic root of 716481540 is about 894.8185976930.

The spelling of 716481540 in words is "seven hundred sixteen million, four hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 841 870 1044 1305 1682 1740 2523 2610 3364 4205 4733 5046 5220 7569 8410 9466 10092 12615 14199 15138 16820 18932 23665 25230 28398 30276 37845 42597 47330 50460 56796 70995 75690 85194 94660 137257 141990 151380 170388 212985 274514 283980 411771 425970 549028 686285 823542 851940 1235313 1372570 1647084 2058855 2470626 2745140 3980453 4117710 4941252 6176565 7960906 8235420 11941359 12353130 15921812 19902265 23882718 24706260 35824077 39804530 47765436 59706795 71648154 79609060 119413590 143296308 179120385 238827180 358240770 716481540