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189686664 = 23334121419
BaseRepresentation
bin10110100111001…
…10001110001000
3111012221002012000
423103212032020
5342024433124
630453351000
74462211226
oct1323461610
9435832160
10189686664
1198089442
1253638460
13303b5c3b
141b299b16
15119bd6c9
hexb4e6388

189686664 has 64 divisors (see below), whose sum is σ = 539784000. Its totient is φ = 61683840.

The previous prime is 189686657. The next prime is 189686669. The reversal of 189686664 is 466686981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 189686664.

It is not an unprimeable number, because it can be changed into a prime (189686669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854 + ... + 19565.

It is an arithmetic number, because the mean of its divisors is an integer number (8434125).

Almost surely, 2189686664 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 189686664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892000).

189686664 is an abundant number, since it is smaller than the sum of its proper divisors (350097336).

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

189686664 is a wasteful number, since it uses less digits than its factorization.

189686664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21475 (or 21465 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 189686664 is about 13772.6781709296. The cubic root of 189686664 is about 574.5735100804.

The spelling of 189686664 in words is "one hundred eighty-nine million, six hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 21419 42838 64257 85676 128514 171352 192771 257028 385542 514056 578313 771084 878179 1156626 1542168 1756358 2313252 2634537 3512716 4626504 5269074 7025432 7903611 10538148 15807222 21076296 23710833 31614444 47421666 63228888 94843332 189686664