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80520 = 23351161
BaseRepresentation
bin10011101010001000
311002110020
4103222020
510034040
61420440
7453516
oct235210
9132406
1080520
1155550
123a720
132a85b
14214b6
1518cd0
hex13a88

80520 has 64 divisors (see below), whose sum is σ = 267840. Its totient is φ = 19200.

The previous prime is 80513. The next prime is 80527. The reversal of 80520 is 2508.

Added to its reverse (2508) it gives a triangular number (83028 = T407).

It is an interprime number because it is at equal distance from previous prime (80513) and next prime (80527).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 80520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

280520 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 80520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

80520 is an abundant number, since it is smaller than the sum of its proper divisors (187320).

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

80520 is a wasteful number, since it uses less digits than its factorization.

80520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 80520 is about 283.7604623622. The cubic root of 80520 is about 43.1818510870.

Adding to 80520 its reverse (2508), we get a triangular number (83028 = T407).

The spelling of 80520 in words is "eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 1220 1320 1342 1464 1830 2013 2440 2684 3355 3660 4026 5368 6710 7320 8052 10065 13420 16104 20130 26840 40260 80520