Search a number
-
+
73980 = 22335137
BaseRepresentation
bin10010000011111100
310202111000
4102003330
54331410
61330300
7425454
oct220374
9122430
1073980
1150645
1236990
132789a
141cd64
1516dc0
hex120fc

73980 has 48 divisors (see below), whose sum is σ = 231840. Its totient is φ = 19584.

The previous prime is 73973. The next prime is 73999. The reversal of 73980 is 8937.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

73980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (4830).

273980 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 73980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920).

73980 is an abundant number, since it is smaller than the sum of its proper divisors (157860).

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

73980 is a wasteful number, since it uses less digits than its factorization.

73980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73980 is about 271.9926469594. The cubic root of 73980 is about 41.9795819122.

The spelling of 73980 in words is "seventy-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 18495 24660 36990 73980