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145908 = 22337193
BaseRepresentation
bin100011100111110100
321102011000
4203213310
514132113
63043300
71145250
oct434764
9242130
10145908
119a694
1270530
1351549
143b260
152d373
hex239f4

145908 has 48 divisors (see below), whose sum is σ = 434560. Its totient is φ = 41472.

The previous prime is 145903. The next prime is 145931. The reversal of 145908 is 809541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 660 + ... + 852.

2145908 is an apocalyptic number.

145908 is a gapful number since it is divisible by the number (18) 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 145908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217280).

145908 is an abundant number, since it is smaller than the sum of its proper divisors (288652).

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

145908 is a wasteful number, since it uses less digits than its factorization.

145908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 145908 is about 381.9790570175. The cubic root of 145908 is about 52.6453117147.

The spelling of 145908 in words is "one hundred forty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 193 252 378 386 579 756 772 1158 1351 1737 2316 2702 3474 4053 5211 5404 6948 8106 10422 12159 16212 20844 24318 36477 48636 72954 145908