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60138072 = 23331392003
BaseRepresentation
bin1110010101101…
…0001001011000
311012011022221000
43211122021120
5110343404242
65544545000
71330110441
oct345321130
9135138830
1060138072
1130a45695
1218182160
13c5c7a77
147db62c8
15542da4c
hex395a258

60138072 has 64 divisors (see below), whose sum is σ = 168336000. Its totient is φ = 19891872.

The previous prime is 60138049. The next prime is 60138073. The reversal of 60138072 is 27083106.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60138073) 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, 29023 + ... + 31025.

It is an arithmetic number, because the mean of its divisors is an integer number (2630250).

Almost surely, 260138072 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 60138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84168000).

60138072 is an abundant number, since it is smaller than the sum of its proper divisors (108197928).

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

60138072 is a wasteful number, since it uses less digits than its factorization.

60138072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 60138072 is about 7754.8740802156. The cubic root of 60138072 is about 391.7868305107.

The spelling of 60138072 in words is "sixty million, one hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1668 2003 2502 3336 3753 4006 5004 6009 7506 8012 10008 12018 15012 16024 18027 24036 30024 36054 48072 54081 72108 108162 144216 216324 278417 432648 556834 835251 1113668 1670502 2227336 2505753 3341004 5011506 6682008 7517259 10023012 15034518 20046024 30069036 60138072