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60540960 = 2535126127
BaseRepresentation
bin1110011011110…
…0100000100000
311012220210120210
43212330200200
5110444302320
610001334120
71333406154
oct346744040
9135823523
1060540960
11311a0357
1218337340
13c70926c
14807d064
1554ad0e0
hex39bc820

60540960 has 48 divisors (see below), whose sum is σ = 190705536. Its totient is φ = 16144128.

The previous prime is 60540943. The next prime is 60540967. The reversal of 60540960 is 6904506.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60540967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62584 + ... + 63543.

It is an arithmetic number, because the mean of its divisors is an integer number (3973032).

Almost surely, 260540960 is an apocalyptic number.

60540960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60540960 is an abundant number, since it is smaller than the sum of its proper divisors (130164576).

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

60540960 is a wasteful number, since it uses less digits than its factorization.

60540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126145 (or 126137 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 60540960 is about 7780.8071560732. The cubic root of 60540960 is about 392.6597940243.

The spelling of 60540960 in words is "sixty million, five hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 126127 252254 378381 504508 630635 756762 1009016 1261270 1513524 1891905 2018032 2522540 3027048 3783810 4036064 5045080 6054096 7567620 10090160 12108192 15135240 20180320 30270480 60540960