Search a number
-
+
160152138 = 232173116883
BaseRepresentation
bin10011000101110…
…11101001001010
3102011100120102200
421202323221022
5311444332023
623520341030
73653161566
oct1142735112
9364316380
10160152138
1182446743
1245774776
1327244aa3
14173ac6a6
15e0d7743
hex98bba4a

160152138 has 48 divisors (see below), whose sum is σ = 379282176. Its totient is φ = 48620160.

The previous prime is 160152131. The next prime is 160152193. The reversal of 160152138 is 831251061.

160152138 is a `hidden beast` number, since 1 + 601 + 5 + 21 + 38 = 666.

160152138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (160152131) 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, 1045 + ... + 17927.

It is an arithmetic number, because the mean of its divisors is an integer number (7901712).

Almost surely, 2160152138 is an apocalyptic number.

160152138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 160152138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189641088).

160152138 is an abundant number, since it is smaller than the sum of its proper divisors (219130038).

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

160152138 is a wasteful number, since it uses less digits than its factorization.

160152138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16939 (or 16936 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 160152138 is about 12655.1229942660. The cubic root of 160152138 is about 543.0555380045.

The spelling of 160152138 in words is "one hundred sixty million, one hundred fifty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4743 9486 16883 33766 50649 101298 151947 287011 303894 523373 574022 861033 1046746 1570119 1722066 2583099 3140238 4710357 5166198 8897341 9420714 17794682 26692023 53384046 80076069 160152138