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86613480 = 23325475119
BaseRepresentation
bin1010010100110…
…01110111101000
320000222102100200
411022121313220
5134133112410
612332232200
72101126302
oct512316750
9200872320
1086613480
1144988a98
122500b660
1314c376a5
14b708972
15790d3c0
hex5299de8

86613480 has 96 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 22601088.

The previous prime is 86613463. The next prime is 86613491. The reversal of 86613480 is 8431668.

It is a happy number.

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

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, 14361 + ... + 19479.

It is an arithmetic number, because the mean of its divisors is an integer number (2995200).

Almost surely, 286613480 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 86613480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

86613480 is an abundant number, since it is smaller than the sum of its proper divisors (200925720).

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

86613480 is a wasteful number, since it uses less digits than its factorization.

86613480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86613480 is about 9306.6363418799. The cubic root of 86613480 is about 442.4475854799.

The spelling of 86613480 in words is "eighty-six million, six hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5119 5640 8460 10238 15357 16920 20476 25595 30714 40952 46071 51190 61428 76785 92142 102380 122856 153570 184284 204760 230355 240593 307140 368568 460710 481186 614280 721779 921420 962372 1202965 1443558 1842840 1924744 2165337 2405930 2887116 3608895 4330674 4811860 5774232 7217790 8661348 9623720 10826685 14435580 17322696 21653370 28871160 43306740 86613480