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145140 = 22354159
BaseRepresentation
bin100011011011110100
321101002120
4203123310
514121030
63035540
71143102
oct433364
9241076
10145140
119a056
126bbb0
13510a8
143ac72
152d010
hex236f4

145140 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 37120.

The previous prime is 145139. The next prime is 145177. The reversal of 145140 is 41541.

145140 = T24 + T25 + ... + T95.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431 + ... + 2489.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2145140 is an apocalyptic number.

145140 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 145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

145140 is an abundant number, since it is smaller than the sum of its proper divisors (278220).

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

145140 is a wasteful number, since it uses less digits than its factorization.

145140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 145140 is about 380.9724399481. The cubic root of 145140 is about 52.5527813851.

Adding to 145140 its reverse (41541), we get a palindrome (186681).

The spelling of 145140 in words is "one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 59 60 82 118 123 164 177 205 236 246 295 354 410 492 590 615 708 820 885 1180 1230 1770 2419 2460 3540 4838 7257 9676 12095 14514 24190 29028 36285 48380 72570 145140