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161160 = 23351779
BaseRepresentation
bin100111010110001000
322012001220
4213112020
520124120
63242040
71240566
oct472610
9265056
10161160
1110009a
1279320
135847c
1442a36
1532b40
hex27588

161160 has 64 divisors (see below), whose sum is σ = 518400. Its totient is φ = 39936.

The previous prime is 161159. The next prime is 161167. The reversal of 161160 is 61161.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161160.

It is not an unprimeable number, because it can be changed into a prime (161167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2161160 is an apocalyptic number.

161160 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 161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

161160 is an abundant number, since it is smaller than the sum of its proper divisors (357240).

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

161160 is a wasteful number, since it uses less digits than its factorization.

161160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 161160 is about 401.4473813590. The cubic root of 161160 is about 54.4192333952.

Subtracting from 161160 its reverse (61161), we obtain a palindrome (99999).

It can be divided in two parts, 16 and 1160, that added together give a triangular number (1176 = T48).

The spelling of 161160 in words is "one hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 79 85 102 120 136 158 170 204 237 255 316 340 395 408 474 510 632 680 790 948 1020 1185 1343 1580 1896 2040 2370 2686 3160 4029 4740 5372 6715 8058 9480 10744 13430 16116 20145 26860 32232 40290 53720 80580 161160