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54055134 = 2337231659
BaseRepresentation
bin1100111000110…
…1000011011110
310202201021201000
43032031003132
5102314231014
65210331130
71224314100
oct316150336
9122637630
1054055134
1128570471
1216129aa6
13b2780b3
147271570
154b2b509
hex338d0de

54055134 has 96 divisors (see below), whose sum is σ = 144460800. Its totient is φ = 14923440.

The previous prime is 54055073. The next prime is 54055147. The reversal of 54055134 is 43155045.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54055098 and 54055107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81697 + ... + 82355.

It is an arithmetic number, because the mean of its divisors is an integer number (1504800).

Almost surely, 254055134 is an apocalyptic number.

54055134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54055134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72230400).

54055134 is an abundant number, since it is smaller than the sum of its proper divisors (90405666).

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

54055134 is a wasteful number, since it uses less digits than its factorization.

54055134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

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

The square root of 54055134 is about 7352.2196648359. The cubic root of 54055134 is about 378.1049091527.

The spelling of 54055134 in words is "fifty-four million, fifty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 659 837 882 1302 1318 1323 1519 1674 1953 1977 2646 3038 3906 3954 4557 4613 5859 5931 9114 9226 11718 11862 13671 13839 17793 20429 27342 27678 32291 35586 40858 41013 41517 61287 64582 82026 83034 96873 122574 124551 143003 183861 193746 249102 286006 290619 367722 429009 551583 581238 858018 871857 1001021 1103166 1287027 1743714 2002042 2574054 3003063 3861081 6006126 7722162 9009189 18018378 27027567 54055134