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54112770 = 23251015953
BaseRepresentation
bin1100111001101…
…1001000000010
310202211012202200
43032123020002
5102323102040
65211454030
71224644115
oct316331002
9122735680
1054112770
11285aa7a8
1216157316
13b2983ba
14728857c
154b3d630
hex339b202

54112770 has 48 divisors (see below), whose sum is σ = 142110072. Its totient is φ = 14284800.

The previous prime is 54112769. The next prime is 54112771. The reversal of 54112770 is 7721145.

It is an interprime number because it is at equal distance from previous prime (54112769) and next prime (54112771).

It can be written as a sum of positive squares in 4 ways, for example, as 40870449 + 13242321 = 6393^2 + 3639^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54112771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6114 + ... + 12066.

Almost surely, 254112770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54112770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71055036).

54112770 is an abundant number, since it is smaller than the sum of its proper divisors (87997302).

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

54112770 is a wasteful number, since it uses less digits than its factorization.

54112770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 54112770 is about 7356.1382531869. The cubic root of 54112770 is about 378.2392455370.

The spelling of 54112770 in words is "fifty-four million, one hundred twelve thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 5953 9090 11906 17859 29765 35718 53577 59530 89295 107154 178590 267885 535770 601253 1202506 1803759 3006265 3607518 5411277 6012530 9018795 10822554 18037590 27056385 54112770