Search a number
-
+
73020 = 22351217
BaseRepresentation
bin10001110100111100
310201011110
4101310330
54314040
61322020
7422613
oct216474
9121143
1073020
114a952
1236310
132730c
141c87a
1516980
hex11d3c

73020 has 24 divisors (see below), whose sum is σ = 204624. Its totient is φ = 19456.

The previous prime is 73019. The next prime is 73037. The reversal of 73020 is 2037.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 72987 and 73005.

It is a congruent number.

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, 549 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (8526).

273020 is an apocalyptic number.

It is an amenable number.

73020 is an abundant number, since it is smaller than the sum of its proper divisors (131604).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102312).

73020 is a wasteful number, since it uses less digits than its factorization.

73020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 73020 is about 270.2221308479. Note that the first 3 decimals coincide. The cubic root of 73020 is about 41.7972083634.

Adding to 73020 its reverse (2037), we get a palindrome (75057).

The spelling of 73020 in words is "seventy-three thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1217 2434 3651 4868 6085 7302 12170 14604 18255 24340 36510 73020