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138064176 = 2434106531
BaseRepresentation
bin10000011101010…
…11000100110000
3100121210101110000
420032223010300
5240321023201
621411110000
73264345315
oct1016530460
9317711400
10138064176
1170a2a728
123a2a2300
13227b01a3
141449cd0c
15c1c2d86
hex83ab130

138064176 has 50 divisors (see below), whose sum is σ = 399601532. Its totient is φ = 46020960.

The previous prime is 138064169. The next prime is 138064177. The reversal of 138064176 is 671460831.

138064176 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 641 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138064176.

It is not an unprimeable number, because it can be changed into a prime (138064177) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 51970 + ... + 54561.

Almost surely, 2138064176 is an apocalyptic number.

138064176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138064176 is an abundant number, since it is smaller than the sum of its proper divisors (261537356).

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

138064176 is a wasteful number, since it uses less digits than its factorization.

138064176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106551 (or 106536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138064176 is about 11750.0713189325. The cubic root of 138064176 is about 516.8450188747.

It can be divided in two parts, 1380 and 64176, that added together give a palindrome (65556).

The spelling of 138064176 in words is "one hundred thirty-eight million, sixty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 106531 213062 319593 426124 639186 852248 958779 1278372 1704496 1917558 2556744 2876337 3835116 5113488 5752674 7670232 8629011 11505348 15340464 17258022 23010696 34516044 46021392 69032088 138064176