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54134760 = 23354111003
BaseRepresentation
bin1100111010000…
…0011111101000
310202212022221010
43032200133220
5102324303020
65212143520
71225065201
oct316403750
9122768833
1054134760
1128615279
1216167ba0
13b2a5404
1472925a8
154b44de0
hex33a07e8

54134760 has 64 divisors (see below), whose sum is σ = 166380480. Its totient is φ = 14082560.

The previous prime is 54134753. The next prime is 54134767. The reversal of 54134760 is 6743145.

54134760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54134753) and next prime (54134767).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (54134767) by changing a digit.

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, 582 + ... + 10421.

It is an arithmetic number, because the mean of its divisors is an integer number (2599695).

Almost surely, 254134760 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 54134760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83190240).

54134760 is an abundant number, since it is smaller than the sum of its proper divisors (112245720).

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

54134760 is a wasteful number, since it uses less digits than its factorization.

54134760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11054 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 54134760 is about 7357.6327714830. The cubic root of 54134760 is about 378.2904740769.

The spelling of 54134760 in words is "fifty-four million, one hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 11003 22006 33009 44012 55015 66018 88024 110030 132036 165045 220060 264072 330090 440120 451123 660180 902246 1320360 1353369 1804492 2255615 2706738 3608984 4511230 5413476 6766845 9022460 10826952 13533690 18044920 27067380 54134760