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60145146 = 2331931261
BaseRepresentation
bin1110010101101…
…1110111111010
311012011200122000
43211123313322
5110344121041
65545041430
71330140165
oct345336772
9135150560
1060145146
1130a4aa36
1218186276
13c5cb059
147db8adc
155430bb6
hex395bdfa

60145146 has 96 divisors (see below), whose sum is σ = 147758400. Its totient is φ = 18079200.

The previous prime is 60145123. The next prime is 60145187. The reversal of 60145146 is 64154106.

60145146 is a `hidden beast` number, since 601 + 4 + 51 + 4 + 6 = 666.

It is a super-2 number, since 2×601451462 = 7234877174722632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985956 + ... + 986016.

It is an arithmetic number, because the mean of its divisors is an integer number (1539150).

Almost surely, 260145146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60145146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73879200).

60145146 is an abundant number, since it is smaller than the sum of its proper divisors (87613254).

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

60145146 is a wasteful number, since it uses less digits than its factorization.

60145146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 60145146 is about 7755.3301670529. The cubic root of 60145146 is about 391.8021917801.

The spelling of 60145146 in words is "sixty million, one hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 61 62 93 114 122 171 183 186 279 342 366 513 549 558 589 837 961 1026 1098 1159 1178 1647 1674 1767 1891 1922 2318 2883 3294 3477 3534 3782 5301 5673 5766 6954 8649 10431 10602 11346 15903 17019 17298 18259 20862 25947 31293 31806 34038 35929 36518 51057 51894 54777 58621 62586 71858 102114 107787 109554 117242 164331 175863 215574 323361 328662 351726 492993 527589 646722 970083 985986 1055178 1113799 1582767 1940166 2227598 3165534 3341397 6682794 10024191 20048382 30072573 60145146