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145360 = 2452379
BaseRepresentation
bin100011011111010000
321101101201
4203133100
514122420
63040544
71143535
oct433720
9241351
10145360
119a236
1270154
1351217
143ad8c
152d10a
hex237d0

145360 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 54912.

The previous prime is 145349. The next prime is 145361. The reversal of 145360 is 63541.

145360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1453602 = 42259059200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1801 + ... + 1879.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2145360 is an apocalyptic number.

145360 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 145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

145360 is an abundant number, since it is smaller than the sum of its proper divisors (211760).

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

145360 is a wasteful number, since it uses less digits than its factorization.

145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 145360 is about 381.2610654132. The cubic root of 145360 is about 52.5793207613.

It can be divided in two parts, 145 and 360, that added together give a palindrome (505).

The spelling of 145360 in words is "one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 79 80 92 115 158 184 230 316 368 395 460 632 790 920 1264 1580 1817 1840 3160 3634 6320 7268 9085 14536 18170 29072 36340 72680 145360