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145764 = 22324049
BaseRepresentation
bin100011100101100100
321101221200
4203211210
514131024
63042500
71144653
oct434544
9241850
10145764
119a573
1270430
1351468
143b19a
152d2c9
hex23964

145764 has 18 divisors (see below), whose sum is σ = 368550. Its totient is φ = 48576.

The previous prime is 145759. The next prime is 145771. The reversal of 145764 is 467541.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 36864 = 330^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145764.

It is an unprimeable number.

145764 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 5 ways as a sum of consecutive naturals, for example, 1989 + ... + 2060.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2145764 is an apocalyptic number.

It is an amenable number.

145764 is an abundant number, since it is smaller than the sum of its proper divisors (222786).

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

145764 is a wasteful number, since it uses less digits than its factorization.

145764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4054 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 145764 is about 381.7905184784. The cubic root of 145764 is about 52.6279870531.

It can be divided in two parts, 1457 and 64, that added together give a square (1521 = 392).

The spelling of 145764 in words is "one hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4049 8098 12147 16196 24294 36441 48588 72882 145764