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145258120 = 2357518779
BaseRepresentation
bin10001010100001…
…11011010001000
3101010022212200101
420222013122020
5244141224440
622225215144
73412450030
oct1052073210
9333285611
10145258120
1174aa3637
12407914b4
132412b767
14154128c0
15cb4469a
hex8a87688

145258120 has 32 divisors (see below), whose sum is σ = 373521600. Its totient is φ = 49802688.

The previous prime is 145258073. The next prime is 145258123. The reversal of 145258120 is 21852541.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (145258123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259110 + ... + 259669.

It is an arithmetic number, because the mean of its divisors is an integer number (11672550).

Almost surely, 2145258120 is an apocalyptic number.

145258120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145258120 is an abundant number, since it is smaller than the sum of its proper divisors (228263480).

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

145258120 is a wasteful number, since it uses less digits than its factorization.

145258120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518797 (or 518793 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 145258120 is about 12052.3076628503. The cubic root of 145258120 is about 525.6703394886.

The spelling of 145258120 in words is "one hundred forty-five million, two hundred fifty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 518779 1037558 2075116 2593895 3631453 4150232 5187790 7262906 10375580 14525812 18157265 20751160 29051624 36314530 72629060 145258120