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54134676 = 22332511997
BaseRepresentation
bin1100111010000…
…0011110010100
310202212022211000
43032200132110
5102324302201
65212143300
71225065021
oct316403624
9122768730
1054134676
1128615202
1216167b30
13b2a536b
147292548
154b44d86
hex33a0794

54134676 has 48 divisors (see below), whose sum is σ = 140978880. Its totient is φ = 17964000.

The previous prime is 54134657. The next prime is 54134701. The reversal of 54134676 is 67643145.

It is a happy number.

54134676 is a `hidden beast` number, since 541 + 3 + 46 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54134676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26110 + ... + 28106.

It is an arithmetic number, because the mean of its divisors is an integer number (2937060).

Almost surely, 254134676 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 54134676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70489440).

54134676 is an abundant number, since it is smaller than the sum of its proper divisors (86844204).

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

54134676 is a wasteful number, since it uses less digits than its factorization.

54134676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 54134676 is about 7357.6270631230. The cubic root of 54134676 is about 378.2902784145.

The spelling of 54134676 in words is "fifty-four million, one hundred thirty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 753 1004 1506 1997 2259 3012 3994 4518 5991 6777 7988 9036 11982 13554 17973 23964 27108 35946 53919 71892 107838 215676 501247 1002494 1503741 2004988 3007482 4511223 6014964 9022446 13533669 18044892 27067338 54134676