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138468072 = 23331186113
BaseRepresentation
bin10000100000011…
…01101011101000
3100122112220111010
420100031223220
5240421434242
621423503520
73300650001
oct1020155350
9318486433
10138468072
1171186126
123a457ba0
13228c1c92
14145661a8
15c25289c
hex840dae8

138468072 has 32 divisors (see below), whose sum is σ = 357338880. Its totient is φ = 44666880.

The previous prime is 138468049. The next prime is 138468101. The reversal of 138468072 is 270864831.

It is a self number, because there is not a number n which added to its sum of digits gives 138468072.

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 7 ways as a sum of consecutive naturals, for example, 92313 + ... + 93800.

It is an arithmetic number, because the mean of its divisors is an integer number (11166840).

Almost surely, 2138468072 is an apocalyptic number.

138468072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138468072 is an abundant number, since it is smaller than the sum of its proper divisors (218870808).

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

138468072 is a wasteful number, since it uses less digits than its factorization.

138468072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186153 (or 186149 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 138468072 is about 11767.2457270170. The cubic root of 138468072 is about 517.3485248282.

The spelling of 138468072 in words is "one hundred thirty-eight million, four hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 186113 372226 558339 744452 1116678 1488904 2233356 4466712 5769503 11539006 17308509 23078012 34617018 46156024 69234036 138468072