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54129060 = 2234533413
BaseRepresentation
bin1100111001111…
…1000110100100
310202212001010000
43032133012210
5102324112220
65212101300
71225042446
oct316370644
9122761100
1054129060
1128610a67
1216164830
13b2a293b
147290496
154b43390
hex339f1a4

54129060 has 60 divisors (see below), whose sum is σ = 169809948. Its totient is φ = 14433984.

The previous prime is 54129041. The next prime is 54129067. The reversal of 54129060 is 6092145.

It can be written as a sum of positive squares in 2 ways, for example, as 39012516 + 15116544 = 6246^2 + 3888^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54129067) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15087 + ... + 18326.

Almost surely, 254129060 is an apocalyptic number.

It is an amenable number.

54129060 is an abundant number, since it is smaller than the sum of its proper divisors (115680888).

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

54129060 is a wasteful number, since it uses less digits than its factorization.

54129060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33434 (or 33423 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 54129060 is about 7357.2454084392. The cubic root of 54129060 is about 378.2771965242.

The spelling of 54129060 in words is "fifty-four million, one hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 33413 66826 100239 133652 167065 200478 300717 334130 400956 501195 601434 668260 902151 1002390 1202868 1503585 1804302 2004780 2706453 3007170 3608604 4510755 5412906 6014340 9021510 10825812 13532265 18043020 27064530 54129060