Search a number
-
+
86735166 = 23783139179
BaseRepresentation
bin1010010101101…
…11100100111110
320001012121021120
411022313210332
5134201011131
612335011410
72102144130
oct512674476
9201177246
1086735166
1144a61461
1225069b66
1314c7abab
14b73b050
157934496
hex52b793e

86735166 has 64 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 24170976.

The previous prime is 86735153. The next prime is 86735183. The reversal of 86735166 is 66153768.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484465 + ... + 484643.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 286735166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86735166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

86735166 is an abundant number, since it is smaller than the sum of its proper divisors (116477634).

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

86735166 is a wasteful number, since it uses less digits than its factorization.

86735166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its digits is 181440, while the sum is 42.

The square root of 86735166 is about 9313.1716402094. The cubic root of 86735166 is about 442.6546913594.

The spelling of 86735166 in words is "eighty-six million, seven hundred thirty-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 83 139 166 179 249 278 358 417 498 537 581 834 973 1074 1162 1253 1743 1946 2506 2919 3486 3759 5838 7518 11537 14857 23074 24881 29714 34611 44571 49762 69222 74643 80759 89142 103999 149286 161518 174167 207998 242277 311997 348334 484554 522501 623994 1045002 2065123 4130246 6195369 12390738 14455861 28911722 43367583 86735166