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54412120 = 2357296701
BaseRepresentation
bin1100111110010…
…0001101011000
310210101102101201
43033210031120
5102412141440
65222123544
71230331630
oct317441530
9123342351
1054412120
11287946a4
12162805b4
13b371729
1473256c0
154b9c19a
hex33e4358

54412120 has 64 divisors (see below), whose sum is σ = 144763200. Its totient is φ = 18009600.

The previous prime is 54412109. The next prime is 54412139. The reversal of 54412120 is 2121445.

54412120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 4770 + ... + 11470.

It is an arithmetic number, because the mean of its divisors is an integer number (2261925).

Almost surely, 254412120 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 54412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72381600).

54412120 is an abundant number, since it is smaller than the sum of its proper divisors (90351080).

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

54412120 is a wasteful number, since it uses less digits than its factorization.

54412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 54412120 is about 7376.4571441851. The cubic root of 54412120 is about 378.9354322237.

Adding to 54412120 its reverse (2121445), we get a palindrome (56533565).

The spelling of 54412120 in words is "fifty-four million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 6701 8120 13402 26804 33505 46907 53608 67010 93814 134020 187628 194329 234535 268040 375256 388658 469070 777316 938140 971645 1360303 1554632 1876280 1943290 2720606 3886580 5441212 6801515 7773160 10882424 13603030 27206060 54412120