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54134740 = 225111032389
BaseRepresentation
bin1100111010000…
…0011111010100
310202212022220101
43032200133110
5102324302430
65212143444
71225065142
oct316403724
9122768811
1054134740
1128615260
1216167b84
13b2a53ba
147292592
154b44dca
hex33a07d4

54134740 has 48 divisors (see below), whose sum is σ = 125274240. Its totient is φ = 19486080.

The previous prime is 54134713. The next prime is 54134753. The reversal of 54134740 is 4743145.

54134740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54134699 and 54134708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21466 + ... + 23854.

It is an arithmetic number, because the mean of its divisors is an integer number (2609880).

Almost surely, 254134740 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 54134740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62637120).

54134740 is an abundant number, since it is smaller than the sum of its proper divisors (71139500).

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

54134740 is a wasteful number, since it uses less digits than its factorization.

54134740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 54134740 is about 7357.6314123500. The cubic root of 54134740 is about 378.2904274907.

Adding to 54134740 its reverse (4743145), we get a palindrome (58877885).

It can be divided in two parts, 5413 and 4740, that added together give a triangular number (10153 = T142).

The spelling of 54134740 in words is "fifty-four million, one hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 2389 4532 4778 5665 9556 11330 11945 22660 23890 26279 47780 52558 105116 131395 246067 262790 492134 525580 984268 1230335 2460670 2706737 4921340 5413474 10826948 13533685 27067370 54134740