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54367460 = 22572291913
BaseRepresentation
bin1100111101100…
…1010011100100
310210022011010122
43033121103210
5102404224320
65221141112
71230054500
oct317312344
9123264118
1054367460
1128764094
121625a798
13b3572c4
147313300
154b8dd25
hex33d94e4

54367460 has 72 divisors (see below), whose sum is σ = 137463480. Its totient is φ = 17988096.

The previous prime is 54367451. The next prime is 54367463. The reversal of 54367460 is 6476345.

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 39866596 = 3808^2 + 6314^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 54367460.

It is not an unprimeable number, because it can be changed into a prime (54367463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27464 + ... + 29376.

It is an arithmetic number, because the mean of its divisors is an integer number (1909215).

Almost surely, 254367460 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 54367460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68731740).

54367460 is an abundant number, since it is smaller than the sum of its proper divisors (83096020).

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

54367460 is a wasteful number, since it uses less digits than its factorization.

54367460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 54367460 is about 7373.4293242697. The cubic root of 54367460 is about 378.8317305204.

The spelling of 54367460 in words is "fifty-four million, three hundred sixty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 1913 2030 2842 3826 4060 5684 7105 7652 9565 13391 14210 19130 26782 28420 38260 53564 55477 66955 93737 110954 133910 187474 221908 267820 277385 374948 388339 468685 554770 776678 937370 1109540 1553356 1874740 1941695 2718373 3883390 5436746 7766780 10873492 13591865 27183730 54367460