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53509720 = 23511313923
BaseRepresentation
bin1100110000011…
…1111001011000
310201200120112111
43030013321120
5102144302340
65150522104
71216553005
oct314077130
9121616474
1053509720
1128228710
1215b06334
13b116a74
14716c8ac
154a6eaea
hex3307e58

53509720 has 64 divisors (see below), whose sum is σ = 135613440. Its totient is φ = 18825600.

The previous prime is 53509679. The next prime is 53509721. The reversal of 53509720 is 2790535.

It is a happy number.

53509720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53509721) 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 15 ways as a sum of consecutive naturals, for example, 11679 + ... + 15601.

It is an arithmetic number, because the mean of its divisors is an integer number (2118960).

Almost surely, 253509720 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 53509720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67806720).

53509720 is an abundant number, since it is smaller than the sum of its proper divisors (82103720).

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

53509720 is a wasteful number, since it uses less digits than its factorization.

53509720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 53509720 is about 7315.0338345082. The cubic root of 53509720 is about 376.8289204471.

The spelling of 53509720 in words is "fifty-three million, five hundred nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 3923 6820 7846 13640 15692 19615 31384 39230 43153 78460 86306 121613 156920 172612 215765 243226 345224 431530 486452 608065 863060 972904 1216130 1337743 1726120 2432260 2675486 4864520 5350972 6688715 10701944 13377430 26754860 53509720