Search a number
-
+
86413860 = 223251336929
BaseRepresentation
bin1010010011010…
…01001000100100
320000121021112100
411021221020210
5134110220420
612324052100
72066335311
oct511511044
9200537470
1086413860
1144862015
1224b34030
1314b97880
14b695d08
1578be190
hex5269224

86413860 has 72 divisors (see below), whose sum is σ = 282292920. Its totient is φ = 21270528.

The previous prime is 86413849. The next prime is 86413867. The reversal of 86413860 is 6831468.

It is a happy number.

86413860 is a `hidden beast` number, since 8 + 641 + 3 + 8 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 81324324 = 2256^2 + 9018^2 .

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

It is not an unprimeable number, because it can be changed into a prime (86413867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16125 + ... + 20804.

It is an arithmetic number, because the mean of its divisors is an integer number (3920735).

Almost surely, 286413860 is an apocalyptic number.

It is an amenable number.

86413860 is an abundant number, since it is smaller than the sum of its proper divisors (195879060).

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

86413860 is a wasteful number, since it uses less digits than its factorization.

86413860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36957 (or 36952 counting only the distinct ones).

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

The square root of 86413860 is about 9295.9055502947. The cubic root of 86413860 is about 442.1074177750.

The spelling of 86413860 in words is "eighty-six million, four hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 36929 73858 110787 147716 184645 221574 332361 369290 443148 480077 553935 664722 738580 960154 1107870 1329444 1440231 1661805 1920308 2215740 2400385 2880462 3323610 4320693 4800770 5760924 6647220 7201155 8641386 9601540 14402310 17282772 21603465 28804620 43206930 86413860