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149160 = 233511113
BaseRepresentation
bin100100011010101000
321120121110
4210122220
514233120
63110320
71160604
oct443250
9246543
10149160
11a2080
12723a0
1352b7b
143c504
152e2e0
hex246a8

149160 has 64 divisors (see below), whose sum is σ = 492480. Its totient is φ = 35840.

The previous prime is 149159. The next prime is 149161. The reversal of 149160 is 61941.

It is an interprime number because it is at equal distance from previous prime (149159) and next prime (149161).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (149161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2149160 is an apocalyptic number.

149160 is a gapful number since it is divisible by the number (10) 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 149160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

149160 is an abundant number, since it is smaller than the sum of its proper divisors (343320).

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

149160 is a wasteful number, since it uses less digits than its factorization.

149160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 149160 is about 386.2123768084. The cubic root of 149160 is about 53.0335612758.

It can be divided in two parts, 1491 and 60, that added together give a palindrome (1551).

The spelling of 149160 in words is "one hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 113 120 132 165 220 226 264 330 339 440 452 565 660 678 904 1130 1243 1320 1356 1695 2260 2486 2712 3390 3729 4520 4972 6215 6780 7458 9944 12430 13560 14916 18645 24860 29832 37290 49720 74580 149160