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146020 = 22572149
BaseRepresentation
bin100011101001100100
321102022011
4203221210
514133040
63044004
71145500
oct435144
9242264
10146020
119a786
1270604
1351604
143b300
152d3ea
hex23a64

146020 has 36 divisors (see below), whose sum is σ = 359100. Its totient is φ = 49728.

The previous prime is 146011. The next prime is 146021. The reversal of 146020 is 20641.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 112896 = 182^2 + 336^2 .

It is not an unprimeable number, because it can be changed into a prime (146021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906 + ... + 1054.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

2146020 is an apocalyptic number.

146020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179550).

146020 is an abundant number, since it is smaller than the sum of its proper divisors (213080).

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

146020 is a wasteful number, since it uses less digits than its factorization.

146020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 146020 is about 382.1256337908. The cubic root of 146020 is about 52.6587785726.

Adding to 146020 its reverse (20641), we get a palindrome (166661).

The spelling of 146020 in words is "one hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2980 4172 5215 7301 10430 14602 20860 29204 36505 73010 146020