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60078 = 23171931
BaseRepresentation
bin1110101010101110
310001102010
432222232
53410303
61142050
7340104
oct165256
9101363
1060078
1141157
122a926
1321465
1417c74
1512c03
hexeaae

60078 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 17280.

The previous prime is 60077. The next prime is 60083. The reversal of 60078 is 87006.

60078 is nontrivially palindromic in base 16.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60077) 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, 1923 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

260078 is an apocalyptic number.

60078 is an abundant number, since it is smaller than the sum of its proper divisors (78162).

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 (69120).

60078 is a wasteful number, since it uses less digits than its factorization.

60078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 60078 is about 245.1081393997. The cubic root of 60078 is about 39.1656334922.

The spelling of 60078 in words is "sixty thousand, seventy-eight".

Divisors: 1 2 3 6 17 19 31 34 38 51 57 62 93 102 114 186 323 527 589 646 969 1054 1178 1581 1767 1938 3162 3534 10013 20026 30039 60078