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145904 = 2411829
BaseRepresentation
bin100011100111110000
321102010212
4203213300
514132104
63043252
71145243
oct434760
9242125
10145904
119a690
1270528
1351545
143b25a
152d36e
hex239f0

145904 has 20 divisors (see below), whose sum is σ = 308760. Its totient is φ = 66240.

The previous prime is 145903. The next prime is 145931. The reversal of 145904 is 409541.

It is a happy number.

145904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145904.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145904.

It is not an unprimeable number, because it can be changed into a prime (145903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (15438).

2145904 is an apocalyptic number.

It is an amenable number.

145904 is an abundant number, since it is smaller than the sum of its proper divisors (162856).

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

145904 is a wasteful number, since it uses less digits than its factorization.

145904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 145904 is about 381.9738210925. The cubic root of 145904 is about 52.6448306281.

The spelling of 145904 in words is "one hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 829 1658 3316 6632 9119 13264 18238 36476 72952 145904