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54399060 = 22335131769
BaseRepresentation
bin1100111110000…
…1000001010100
310210100202111000
43033201001110
5102411232220
65221543300
71230245562
oct317410124
9123322430
1054399060
1128785901
1216274b30
13b3687c1
147320a32
154b98390
hex33e1054

54399060 has 96 divisors (see below), whose sum is σ = 170755200. Its totient is φ = 14376960.

The previous prime is 54399049. The next prime is 54399061. The reversal of 54399060 is 6099345.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54399061) 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 31 ways as a sum of consecutive naturals, for example, 70356 + ... + 71124.

It is an arithmetic number, because the mean of its divisors is an integer number (1778700).

Almost surely, 254399060 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 54399060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85377600).

54399060 is an abundant number, since it is smaller than the sum of its proper divisors (116356140).

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

54399060 is a wasteful number, since it uses less digits than its factorization.

54399060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 54399060 is about 7375.5718422370. The cubic root of 54399060 is about 378.9051124301.

The spelling of 54399060 in words is "fifty-four million, three hundred ninety-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 131 135 180 262 270 393 524 540 655 769 786 1179 1310 1538 1572 1965 2307 2358 2620 3076 3537 3845 3930 4614 4716 5895 6921 7074 7690 7860 9228 11535 11790 13842 14148 15380 17685 20763 23070 23580 27684 34605 35370 41526 46140 69210 70740 83052 100739 103815 138420 201478 207630 302217 402956 415260 503695 604434 906651 1007390 1208868 1511085 1813302 2014780 2719953 3022170 3626604 4533255 5439906 6044340 9066510 10879812 13599765 18133020 27199530 54399060