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145983132 = 22324055087
BaseRepresentation
bin10001011001110…
…00011010011100
3101011200201012200
420230320122130
5244332430012
622252531500
73421556541
oct1054703234
9334621180
10145983132
1175449319
1240a80b90
1324323769
1415560bc8
15cc393dc
hex8b3869c

145983132 has 18 divisors (see below), whose sum is σ = 369013008. Its totient is φ = 48661032.

The previous prime is 145983127. The next prime is 145983179. The reversal of 145983132 is 231389541.

145983132 is a `hidden beast` number, since 1 + 4 + 598 + 31 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1459831323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4055087 = 145983132 / (1 + 4 + 5 + 9 + 8 + 3 + 1 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2027508 + ... + 2027579.

Almost surely, 2145983132 is an apocalyptic number.

145983132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145983132 is an abundant number, since it is smaller than the sum of its proper divisors (223029876).

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

145983132 is a wasteful number, since it uses less digits than its factorization.

145983132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055097 (or 4055092 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 145983132 is about 12082.3479506262. The cubic root of 145983132 is about 526.5434633210.

The spelling of 145983132 in words is "one hundred forty-five million, nine hundred eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4055087 8110174 12165261 16220348 24330522 36495783 48661044 72991566 145983132