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53720 = 2351779
BaseRepresentation
bin1101000111011000
32201200122
431013120
53204340
61052412
7312422
oct150730
981618
1053720
11373a7
1227108
131b5b4
1415812
1510db5
hexd1d8

53720 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 19968.

The previous prime is 53719. The next prime is 53731. The reversal of 53720 is 2735.

53720 = 482 + 492 + ... + 642.

53720 is nontrivially palindromic in base 9.

53720 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 (17).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

253720 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 53720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

53720 is an abundant number, since it is smaller than the sum of its proper divisors (75880).

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

53720 is a wasteful number, since it uses less digits than its factorization.

53720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 53720 is about 231.7757536931. The cubic root of 53720 is about 37.7321890161.

53720 divided by its sum of digits (17) gives a triangular number (3160 = T79).

The spelling of 53720 in words is "fifty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 316 340 395 632 680 790 1343 1580 2686 3160 5372 6715 10744 13430 26860 53720