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53431120 = 2456110949
BaseRepresentation
bin1100101111010…
…0101101010000
310201112120201101
43023310231100
5102134243440
65145114144
71216104601
oct313645520
9121476641
1053431120
1128184656
1215a88954
13b0ba062
14714bda8
154a5669a
hex32f4b50

53431120 has 40 divisors (see below), whose sum is σ = 126275400. Its totient is φ = 21020160.

The previous prime is 53431117. The next prime is 53431127. The reversal of 53431120 is 2113435.

53431120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 49956624 = 1864^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53431127) 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 7 ways as a sum of consecutive naturals, for example, 595 + ... + 10354.

It is an arithmetic number, because the mean of its divisors is an integer number (3156885).

Almost surely, 253431120 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 53431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63137700).

53431120 is an abundant number, since it is smaller than the sum of its proper divisors (72844280).

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

53431120 is a wasteful number, since it uses less digits than its factorization.

53431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 53431120 is about 7309.6593627884. The cubic root of 53431120 is about 376.6443230366.

Adding to 53431120 its reverse (2113435), we get a palindrome (55544555).

The spelling of 53431120 in words is "fifty-three million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 10949 21898 43796 54745 87592 109490 175184 218980 437960 667889 875920 1335778 2671556 3339445 5343112 6678890 10686224 13357780 26715560 53431120