Search a number
-
+
53500520 = 235372977
BaseRepresentation
bin1100110000010…
…1101001101000
310201200002220202
43030011221220
5102144004040
65150411332
71216514123
oct314055150
9121602822
1053500520
1128221807
1215b00b48
13b112818
1471693ba
154a6c015
hex3305a68

53500520 has 48 divisors (see below), whose sum is σ = 123844140. Its totient is φ = 20800512.

The previous prime is 53500519. The next prime is 53500529. The reversal of 53500520 is 2500535.

It can be written as a sum of positive squares in 6 ways, for example, as 52504516 + 996004 = 7246^2 + 998^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 53500492 and 53500501.

It is not an unprimeable number, because it can be changed into a prime (53500529) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54272 + ... + 55248.

Almost surely, 253500520 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 53500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61922070).

53500520 is an abundant number, since it is smaller than the sum of its proper divisors (70343620).

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

53500520 is a wasteful number, since it uses less digits than its factorization.

53500520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 53500520 is about 7314.4049655457. The cubic root of 53500520 is about 376.8073229705.

The spelling of 53500520 in words is "fifty-three million, five hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 977 1369 1480 1954 2738 3908 4885 5476 6845 7816 9770 10952 13690 19540 27380 36149 39080 54760 72298 144596 180745 289192 361490 722980 1337513 1445960 2675026 5350052 6687565 10700104 13375130 26750260 53500520