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60112 = 2413172
BaseRepresentation
bin1110101011010000
310001110101
432223100
53410422
61142144
7340153
oct165320
9101411
1060112
1141188
122a954
1321490
1417c9a
1512c27
hexead0

60112 has 30 divisors (see below), whose sum is σ = 133238. Its totient is φ = 26112.

The previous prime is 60107. The next prime is 60127. The reversal of 60112 is 21106.

60112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 46656 = 116^2 + 216^2 .

It is a super-2 number, since 2×601122 = 7226905088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3528 + ... + 3544.

260112 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 60112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66619).

60112 is an abundant number, since it is smaller than the sum of its proper divisors (73126).

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

60112 is a wasteful number, since it uses less digits than its factorization.

60112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 60112 is about 245.1774867316. The cubic root of 60112 is about 39.1730204470.

Adding to 60112 its reverse (21106), we get a palindrome (81218).

The spelling of 60112 in words is "sixty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 578 884 1156 1768 2312 3536 3757 4624 7514 15028 30056 60112