Search a number
-
+
160189164 = 223417127229
BaseRepresentation
bin10011000110001…
…00101011101100
3102011102110020000
421203010223230
5312002023124
623521224300
73653404542
oct1143045354
9364373200
10160189164
1182471543
1245792090
13272588b5
14173bbd92
15e0e36c9
hex98c4aec

160189164 has 120 divisors (see below), whose sum is σ = 448842240. Its totient is φ = 49641984.

The previous prime is 160189157. The next prime is 160189193. The reversal of 160189164 is 461981061.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 699402 + ... + 699630.

It is an arithmetic number, because the mean of its divisors is an integer number (3740352).

Almost surely, 2160189164 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 160189164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224421120).

160189164 is an abundant number, since it is smaller than the sum of its proper divisors (288653076).

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

160189164 is a wasteful number, since it uses less digits than its factorization.

160189164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 160189164 is about 12656.5857955453. The cubic root of 160189164 is about 543.0973849325.

The spelling of 160189164 in words is "one hundred sixty million, one hundred eighty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 127 153 162 204 229 254 306 324 381 458 459 508 612 687 762 916 918 1143 1374 1377 1524 1836 2061 2159 2286 2748 2754 3429 3893 4122 4318 4572 5508 6183 6477 6858 7786 8244 8636 10287 11679 12366 12954 13716 15572 18549 19431 20574 23358 24732 25908 29083 35037 37098 38862 41148 46716 58166 58293 70074 74196 77724 87249 105111 116332 116586 140148 174498 174879 210222 233172 261747 315333 348996 349758 420444 494411 523494 630666 699516 785241 988822 1046988 1261332 1483233 1570482 1977644 2355723 2966466 3140964 4449699 4711446 5932932 8899398 9422892 13349097 17798796 26698194 40047291 53396388 80094582 160189164