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145446120 = 23325404017
BaseRepresentation
bin10001010101101…
…01010011101000
3101010200102120100
420222311103220
5244213233440
622233225400
73414162111
oct1052652350
9333612510
10145446120
1175111906
1240862260
13241961c1
1415461208
15cb80230
hex8ab54e8

145446120 has 48 divisors (see below), whose sum is σ = 472701060. Its totient is φ = 38785536.

The previous prime is 145446113. The next prime is 145446139. The reversal of 145446120 is 21644541.

145446120 is a `hidden beast` number, since 1 + 4 + 5 + 44 + 612 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142993764 + 2452356 = 11958^2 + 1566^2 .

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 11 ways as a sum of consecutive naturals, for example, 201649 + ... + 202368.

Almost surely, 2145446120 is an apocalyptic number.

145446120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145446120 is an abundant number, since it is smaller than the sum of its proper divisors (327254940).

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

145446120 is a wasteful number, since it uses less digits than its factorization.

145446120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404034 (or 404027 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145446120 is about 12060.1044771594. The cubic root of 145446120 is about 525.8970242787.

It can be divided in two parts, 1454 and 46120, that added together give a palindrome (47574).

The spelling of 145446120 in words is "one hundred forty-five million, four hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 404017 808034 1212051 1616068 2020085 2424102 3232136 3636153 4040170 4848204 6060255 7272306 8080340 9696408 12120510 14544612 16160680 18180765 24241020 29089224 36361530 48482040 72723060 145446120