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60156 = 2233557
BaseRepresentation
bin1110101011111100
310001112000
432223330
53411111
61142300
7340245
oct165374
9101460
1060156
1141218
122a990
13214c5
1417ccc
1512c56
hexeafc

60156 has 24 divisors (see below), whose sum is σ = 156240. Its totient is φ = 20016.

The previous prime is 60149. The next prime is 60161. The reversal of 60156 is 65106.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 60156.

It is an unprimeable number.

60156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

260156 is an apocalyptic number.

It is an amenable number.

60156 is an abundant number, since it is smaller than the sum of its proper divisors (96084).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

60156 is a wasteful number, since it uses less digits than its factorization.

60156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 60156 is about 245.2672012316. The cubic root of 60156 is about 39.1825759020.

Subtracting 60156 from its reverse (65106), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 60 and 156, that added together give a cube (216 = 63).

The spelling of 60156 in words is "sixty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 557 1114 1671 2228 3342 5013 6684 10026 15039 20052 30078 60156