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145515096 = 23334315667
BaseRepresentation
bin10001010110001…
…10001001011000
3101010210221012000
420223012021120
5244222440341
622234521000
73414600156
oct1053061130
9333727160
10145515096
1175159711
1240896160
13241bb70c
141547c3d6
15cb958b6
hex8ac6258

145515096 has 64 divisors (see below), whose sum is σ = 413635200. Its totient is φ = 47373984.

The previous prime is 145515059. The next prime is 145515101. The reversal of 145515096 is 690515541.

145515096 is a `hidden beast` number, since 14 + 551 + 5 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145515096.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1455 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (6463050).

Almost surely, 2145515096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145515096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206817600).

145515096 is an abundant number, since it is smaller than the sum of its proper divisors (268120104).

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

145515096 is a wasteful number, since it uses less digits than its factorization.

145515096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725 (or 15715 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 145515096 is about 12062.9638149171. The cubic root of 145515096 is about 525.9801444986.

The spelling of 145515096 in words is "one hundred forty-five million, five hundred fifteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 15667 31334 47001 62668 94002 125336 141003 188004 282006 376008 423009 564012 673681 846018 1128024 1347362 1692036 2021043 2694724 3384072 4042086 5389448 6063129 8084172 12126258 16168344 18189387 24252516 36378774 48505032 72757548 145515096