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145512 = 23324347
BaseRepresentation
bin100011100001101000
321101121100
4203201220
514124022
63041400
71144143
oct434150
9241540
10145512
119a364
1270260
1351303
143b05a
152d1ac
hex23868

145512 has 48 divisors (see below), whose sum is σ = 411840. Its totient is φ = 46368.

The previous prime is 145511. The next prime is 145513. The reversal of 145512 is 215541.

It is an interprime number because it is at equal distance from previous prime (145511) and next prime (145513).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145512.

It is not an unprimeable number, because it can be changed into a prime (145511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3073 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2145512 is an apocalyptic number.

145512 is a gapful number since it is divisible by the number (12) 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 145512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205920).

145512 is an abundant number, since it is smaller than the sum of its proper divisors (266328).

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

145512 is a wasteful number, since it uses less digits than its factorization.

145512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 145512 is about 381.4603518061. The cubic root of 145512 is about 52.5976414196.

Adding to 145512 its sum of digits (18), we get a triangular number (145530 = T539).

The spelling of 145512 in words is "one hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 47 72 86 94 129 141 172 188 258 282 344 376 387 423 516 564 774 846 1032 1128 1548 1692 2021 3096 3384 4042 6063 8084 12126 16168 18189 24252 36378 48504 72756 145512