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145920 = 293519
BaseRepresentation
bin100011101000000000
321102011110
4203220000
514132140
63043320
71145265
oct435000
9242143
10145920
119a6a5
1270540
1351558
143b26c
152d380
hex23a00

145920 has 80 divisors (see below), whose sum is σ = 491040. Its totient is φ = 36864.

The previous prime is 145903. The next prime is 145931. The reversal of 145920 is 29541.

It is a tau number, because it is divible by the number of its divisors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145920.

It is an unprimeable number.

145920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7671 + ... + 7689.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2145920 is an apocalyptic number.

145920 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 145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

145920 is an abundant number, since it is smaller than the sum of its proper divisors (345120).

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

145920 is an equidigital number, since it uses as much as digits as its factorization.

145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 145920 is about 381.9947643620. The cubic root of 145920 is about 52.6467549219.

The spelling of 145920 in words is "one hundred forty-five thousand, nine hundred twenty".