Search a number
-
+
123400144 = 2471764811
BaseRepresentation
bin1110101101011…
…10111111010000
322121012101011201
413112232333100
5223042301034
620124520544
73025612120
oct726567720
9277171151
10123400144
116372439a
12353b0154
131c74774a
1412562c80
15ac78014
hex75aefd0

123400144 has 40 divisors (see below), whose sum is σ = 289320768. Its totient is φ = 49774080.

The previous prime is 123400111. The next prime is 123400157. The reversal of 123400144 is 441004321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30502 + ... + 34309.

Almost surely, 2123400144 is an apocalyptic number.

123400144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123400144 is an abundant number, since it is smaller than the sum of its proper divisors (165920624).

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

123400144 is a wasteful number, since it uses less digits than its factorization.

123400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64843 (or 64837 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 123400144 is about 11108.5617430881. The cubic root of 123400144 is about 497.8576928160.

Adding to 123400144 its reverse (441004321), we get a palindrome (564404465).

The spelling of 123400144 in words is "one hundred twenty-three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 64811 129622 259244 453677 518488 907354 1036976 1101787 1814708 2203574 3629416 4407148 7258832 7712509 8814296 15425018 17628592 30850036 61700072 123400144