Search a number
-
+
60125058 = 2337231733
BaseRepresentation
bin1110010101011…
…0111110000010
311012010200002000
43211112332002
5110343000213
65544404430
71330024500
oct345267602
9135120060
1060125058
1130a36934
1218176716
13c5c1b76
147db1670
155429c73
hex3956f82

60125058 has 96 divisors (see below), whose sum is σ = 160657920. Its totient is φ = 16601760.

The previous prime is 60125057. The next prime is 60125113. The reversal of 60125058 is 85052106.

60125058 is a `hidden beast` number, since 601 + 2 + 5 + 0 + 58 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (60125057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81660 + ... + 82392.

It is an arithmetic number, because the mean of its divisors is an integer number (1673520).

Almost surely, 260125058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60125058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80328960).

60125058 is an abundant number, since it is smaller than the sum of its proper divisors (100532862).

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

60125058 is a wasteful number, since it uses less digits than its factorization.

60125058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 60125058 is about 7754.0349496246. The cubic root of 60125058 is about 391.7585673186.

The spelling of 60125058 in words is "sixty million, one hundred twenty-five thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 733 837 882 1302 1323 1466 1519 1674 1953 2199 2646 3038 3906 4398 4557 5131 5859 6597 9114 10262 11718 13194 13671 15393 19791 22723 27342 30786 35917 39582 41013 45446 46179 68169 71834 82026 92358 107751 136338 138537 159061 204507 215502 277074 318122 323253 409014 477183 613521 646506 954366 969759 1113427 1227042 1431549 1939518 2226854 2863098 3340281 4294647 6680562 8589294 10020843 20041686 30062529 60125058