Search a number
-
+
54379620 = 22335100703
BaseRepresentation
bin1100111101110…
…0010001100100
310210022202211000
43033130101210
5102410121440
65221313300
71230135111
oct317342144
9123282730
1054379620
1128772239
1216265830
13b35c9b9
147317908
154b92730
hex33dc464

54379620 has 48 divisors (see below), whose sum is σ = 169182720. Its totient is φ = 14501088.

The previous prime is 54379597. The next prime is 54379621. The reversal of 54379620 is 2697345.

54379620 is a `hidden beast` number, since 543 + 7 + 96 + 20 = 666.

54379620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (54379621) 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, 49812 + ... + 50891.

It is an arithmetic number, because the mean of its divisors is an integer number (3524640).

Almost surely, 254379620 is an apocalyptic number.

It is an amenable number.

54379620 is an abundant number, since it is smaller than the sum of its proper divisors (114803100).

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

54379620 is a wasteful number, since it uses less digits than its factorization.

54379620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100721 (or 100713 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54379620 is about 7374.2538605611. The cubic root of 54379620 is about 378.8599719872.

The spelling of 54379620 in words is "fifty-four million, three hundred seventy-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 100703 201406 302109 402812 503515 604218 906327 1007030 1208436 1510545 1812654 2014060 2718981 3021090 3625308 4531635 5437962 6042180 9063270 10875924 13594905 18126540 27189810 54379620