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145356516 = 22324037681
BaseRepresentation
bin10001010100111…
…11011011100100
3101010111212122200
420222133123210
5244202402031
622231254500
73413336634
oct1052373344
9333455580
10145356516
1175060558
124081a430
1324164496
141543a6c4
15cb638e6
hex8a9f6e4

145356516 has 18 divisors (see below), whose sum is σ = 367429062. Its totient is φ = 48452160.

The previous prime is 145356509. The next prime is 145356553. The reversal of 145356516 is 615653541.

It can be written as a sum of positive squares in only one way, i.e., 145298916 + 57600 = 12054^2 + 240^2 .

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

It is a super-2 number, since 2×1453565162 = 42257033487316512, which contains 22 as substring.

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: 4037681 = 145356516 / (1 + 4 + 5 + 3 + 5 + 6 + 5 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2018805 + ... + 2018876.

Almost surely, 2145356516 is an apocalyptic number.

It is an amenable number.

145356516 is an abundant number, since it is smaller than the sum of its proper divisors (222072546).

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

145356516 is a wasteful number, since it uses less digits than its factorization.

145356516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037691 (or 4037686 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 145356516 is about 12056.3890116403. The cubic root of 145356516 is about 525.7890068284.

The spelling of 145356516 in words is "one hundred forty-five million, three hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4037681 8075362 12113043 16150724 24226086 36339129 48452172 72678258 145356516