Search a number
-
+
86606604 = 223371091051
BaseRepresentation
bin1010010100110…
…00001100001100
320000222001221000
411022120030030
5134132402404
612332140300
72101100250
oct512301414
9200861830
1086606604
1144983907
1225007690
1314c34516
14b706260
15790b339
hex529830c

86606604 has 96 divisors (see below), whose sum is σ = 259212800. Its totient is φ = 24494400.

The previous prime is 86606587. The next prime is 86606609. The reversal of 86606604 is 40660668.

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 (86606609) 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, 81879 + ... + 82929.

Almost surely, 286606604 is an apocalyptic number.

86606604 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86606604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129606400).

86606604 is an abundant number, since it is smaller than the sum of its proper divisors (172606196).

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

86606604 is a wasteful number, since it uses less digits than its factorization.

86606604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86606604 is about 9306.2669207368. The cubic root of 86606604 is about 442.4358769479.

The spelling of 86606604 in words is "eighty-six million, six hundred six thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 327 378 436 654 756 763 981 1051 1308 1526 1962 2102 2289 2943 3052 3153 3924 4204 4578 5886 6306 6867 7357 9156 9459 11772 12612 13734 14714 18918 20601 22071 27468 28377 29428 37836 41202 44142 56754 66213 82404 88284 113508 114559 132426 198639 229118 264852 343677 397278 458236 687354 794556 801913 1031031 1374708 1603826 2062062 2405739 3093093 3207652 4124124 4811478 6186186 7217217 9622956 12372372 14434434 21651651 28868868 43303302 86606604