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54001620 = 22335100003
BaseRepresentation
bin1100110111111…
…1111111010100
310202121120022000
43031333333110
5102311022440
65205235300
71224002061
oct315777724
9122546260
1054001620
1128534242
1216102b30
13b25992a
147259c68
154b1a730
hex337ffd4

54001620 has 48 divisors (see below), whose sum is σ = 168006720. Its totient is φ = 14400288.

The previous prime is 54001613. The next prime is 54001643. The reversal of 54001620 is 2610045.

It is a happy number.

54001620 is a `hidden beast` number, since 5 + 40 + 0 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

54001620 is a modest number, since divided by 1620 gives 540 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 54001593 and 54001602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49462 + ... + 50541.

It is an arithmetic number, because the mean of its divisors is an integer number (3500140).

Almost surely, 254001620 is an apocalyptic number.

It is an amenable number.

54001620 is an abundant number, since it is smaller than the sum of its proper divisors (114005100).

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

54001620 is a wasteful number, since it uses less digits than its factorization.

54001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100021 (or 100013 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54001620 is about 7348.5794545613. The cubic root of 54001620 is about 377.9800946938.

Adding to 54001620 its reverse (2610045), we get a palindrome (56611665).

The spelling of 54001620 in words is "fifty-four million, one 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 100003 200006 300009 400012 500015 600018 900027 1000030 1200036 1500045 1800054 2000060 2700081 3000090 3600108 4500135 5400162 6000180 9000270 10800324 13500405 18000540 27000810 54001620