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120060540 = 223253132131
BaseRepresentation
bin1110010011111…
…11101001111100
322100220201002200
413021333221330
5221213414130
615525151500
72655332505
oct711775174
9270821080
10120060540
1161853296
123425b590
131bb48652
1411d33bac
15a818760
hex727fa7c

120060540 has 72 divisors (see below), whose sum is σ = 365518608. Its totient is φ = 31898880.

The previous prime is 120060539. The next prime is 120060547. The reversal of 120060540 is 45060021.

It is a happy number.

120060540 is a `hidden beast` number, since 1 + 20 + 0 + 605 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120060547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55275 + ... + 57405.

Almost surely, 2120060540 is an apocalyptic number.

120060540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120060540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182759304).

120060540 is an abundant number, since it is smaller than the sum of its proper divisors (245458068).

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

120060540 is a wasteful number, since it uses less digits than its factorization.

120060540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120060540 is about 10957.2140619776. The cubic root of 120060540 is about 493.3253478539.

The spelling of 120060540 in words is "one hundred twenty million, sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2131 2817 3130 3756 4262 4695 5634 6260 6393 8524 9390 10655 11268 12786 14085 18780 19179 21310 25572 28170 31965 38358 42620 56340 63930 76716 95895 127860 191790 383580 667003 1334006 2001009 2668012 3335015 4002018 6003027 6670030 8004036 10005045 12006054 13340060 20010090 24012108 30015135 40020180 60030270 120060540