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60542960 = 24553109131
BaseRepresentation
bin1110011011110…
…0111111110000
311012220220022212
43212330333300
5110444333320
610001351252
71333415042
oct346747760
9135826285
1060542960
11311a1905
1218338528
13c70a14a
14807da92
1554ad9c5
hex39bcff0

60542960 has 80 divisors (see below), whose sum is σ = 145838880. Its totient is φ = 23362560.

The previous prime is 60542959. The next prime is 60542971. The reversal of 60542960 is 6924506.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462095 + ... + 462225.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 260542960 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 60542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

60542960 is an abundant number, since it is smaller than the sum of its proper divisors (85295920).

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

60542960 is a wasteful number, since it uses less digits than its factorization.

60542960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 60542960 is about 7780.9356763824. The cubic root of 60542960 is about 392.6641178790.

The spelling of 60542960 in words is "sixty million, five hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 109 131 212 218 262 265 424 436 524 530 545 655 848 872 1048 1060 1090 1310 1744 2096 2120 2180 2620 4240 4360 5240 5777 6943 8720 10480 11554 13886 14279 23108 27772 28558 28885 34715 46216 55544 57116 57770 69430 71395 92432 111088 114232 115540 138860 142790 228464 231080 277720 285580 462160 555440 571160 756787 1142320 1513574 3027148 3783935 6054296 7567870 12108592 15135740 30271480 60542960