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53442120 = 23354310357
BaseRepresentation
bin1100101111011…
…1011001001000
310201120010210210
43023313121020
5102140121440
65145241120
71216151634
oct313673110
9121503723
1053442120
1128191946
1215a931a0
13b0c2074
147151dc4
154a59a80
hex32f7648

53442120 has 64 divisors (see below), whose sum is σ = 164070720. Its totient is φ = 13918464.

The previous prime is 53442119. The next prime is 53442127. The reversal of 53442120 is 2124435.

It is not an unprimeable number, because it can be changed into a prime (53442127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 10338.

It is an arithmetic number, because the mean of its divisors is an integer number (2563605).

Almost surely, 253442120 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 53442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82035360).

53442120 is an abundant number, since it is smaller than the sum of its proper divisors (110628600).

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

53442120 is a wasteful number, since it uses less digits than its factorization.

53442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 53442120 is about 7310.4117531094. The cubic root of 53442120 is about 376.6701681700.

Adding to 53442120 its reverse (2124435), we get a palindrome (55566555).

The spelling of 53442120 in words is "fifty-three million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 10357 20714 31071 41428 51785 62142 82856 103570 124284 155355 207140 248568 310710 414280 445351 621420 890702 1242840 1336053 1781404 2226755 2672106 3562808 4453510 5344212 6680265 8907020 10688424 13360530 17814040 26721060 53442120