Search a number
-
+
120990 = 23537109
BaseRepresentation
bin11101100010011110
320010222010
4131202132
512332430
62332050
71012512
oct354236
9203863
10120990
11829a1
125a026
13430bc
1432142
1525cb0
hex1d89e

120990 has 32 divisors (see below), whose sum is σ = 300960. Its totient is φ = 31104.

The previous prime is 120977. The next prime is 120997. The reversal of 120990 is 99021.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (9405).

2120990 is an apocalyptic number.

120990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150480).

120990 is an abundant number, since it is smaller than the sum of its proper divisors (179970).

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

120990 is a wasteful number, since it uses less digits than its factorization.

120990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 120990 is about 347.8361683322. The cubic root of 120990 is about 49.4595118364.

The spelling of 120990 in words is "one hundred twenty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 109 111 185 218 222 327 370 545 555 654 1090 1110 1635 3270 4033 8066 12099 20165 24198 40330 60495 120990