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79180020 = 223254110729
BaseRepresentation
bin1001011100000…
…11000011110100
312111222202120100
410232003003310
5130232230040
611505034100
71651006353
oct456030364
9174882510
1079180020
1140771137
1222625930
13135340aa
14a73199a
156e40b30
hex4b830f4

79180020 has 72 divisors (see below), whose sum is σ = 246060360. Its totient is φ = 20597760.

The previous prime is 79180019. The next prime is 79180081. The reversal of 79180020 is 2008197.

It can be written as a sum of positive squares in 4 ways, for example, as 2232036 + 76947984 = 1494^2 + 8772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016 + ... + 12744.

It is an arithmetic number, because the mean of its divisors is an integer number (3417505).

Almost surely, 279180020 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 79180020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123030180).

79180020 is an abundant number, since it is smaller than the sum of its proper divisors (166880340).

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

79180020 is a wasteful number, since it uses less digits than its factorization.

79180020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 79180020 is about 8898.3155709381. The cubic root of 79180020 is about 429.4097182761.

The spelling of 79180020 in words is "seventy-nine million, one hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 10729 21458 32187 42916 53645 64374 96561 107290 128748 160935 193122 214580 321870 386244 439889 482805 643740 879778 965610 1319667 1759556 1931220 2199445 2639334 3959001 4398890 5278668 6598335 7918002 8797780 13196670 15836004 19795005 26393340 39590010 79180020