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54513540 = 22335157643
BaseRepresentation
bin1100111111110…
…0111110000100
310210120120112000
43033330332010
5102423413130
65224225300
71231233414
oct317747604
9123516460
1054513540
1128853914
121630b230
13b3a8943
147350644
154bbc260
hex33fcf84

54513540 has 96 divisors (see below), whose sum is σ = 170943360. Its totient is φ = 14421888.

The previous prime is 54513523. The next prime is 54513541. The reversal of 54513540 is 4531545.

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

It is not an unprimeable number, because it can be changed into a prime (54513541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84459 + ... + 85101.

It is an arithmetic number, because the mean of its divisors is an integer number (1780660).

Almost surely, 254513540 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 54513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85471680).

54513540 is an abundant number, since it is smaller than the sum of its proper divisors (116429820).

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

54513540 is a wasteful number, since it uses less digits than its factorization.

54513540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 54513540 is about 7383.3285176809. The cubic root of 54513540 is about 379.1707215818.

The spelling of 54513540 in words is "fifty-four million, five hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 643 785 942 1286 1413 1570 1884 1929 2355 2572 2826 3140 3215 3858 4239 4710 5652 5787 6430 7065 7716 8478 9420 9645 11574 12860 14130 16956 17361 19290 21195 23148 28260 28935 34722 38580 42390 57870 69444 84780 86805 100951 115740 173610 201902 302853 347220 403804 504755 605706 908559 1009510 1211412 1514265 1817118 2019020 2725677 3028530 3634236 4542795 5451354 6057060 9085590 10902708 13628385 18171180 27256770 54513540