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54133420 = 225112411021
BaseRepresentation
bin1100111010000…
…0001010101100
310202212021002111
43032200022230
5102324232140
65212133404
71225061245
oct316401254
9122767074
1054133420
1128614270
1216167264
13b2a4913
147291ccc
154b447ea
hex33a02ac

54133420 has 48 divisors (see below), whose sum is σ = 124651296. Its totient is φ = 19584000.

The previous prime is 54133403. The next prime is 54133481. The reversal of 54133420 is 2433145.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 54133391 and 54133400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52510 + ... + 53530.

It is an arithmetic number, because the mean of its divisors is an integer number (2596902).

Almost surely, 254133420 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 54133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62325648).

54133420 is an abundant number, since it is smaller than the sum of its proper divisors (70517876).

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

54133420 is a wasteful number, since it uses less digits than its factorization.

54133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 54133420 is about 7357.5417090221. The cubic root of 54133420 is about 378.2873527712.

Adding to 54133420 its reverse (2433145), we get a palindrome (56566565).

The spelling of 54133420 in words is "fifty-four million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1021 1205 2042 2410 2651 4084 4820 5105 5302 10210 10604 11231 13255 20420 22462 26510 44924 53020 56155 112310 224620 246061 492122 984244 1230305 2460610 2706671 4921220 5413342 10826684 13533355 27066710 54133420