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138260124 = 223231229541
BaseRepresentation
bin10000011110110…
…10111010011100
3100122011100020100
420033122322130
5240343310444
621415221100
73266122512
oct1017327234
9318140210
10138260124
1171053972
123a377790
132284b432
14145104b2
15c210e69
hex83dae9c

138260124 has 72 divisors (see below), whose sum is σ = 363009920. Its totient is φ = 44323200.

The previous prime is 138260119. The next prime is 138260141. The reversal of 138260124 is 421062831.

138260124 is a `hidden beast` number, since 1 + 38 + 2 + 601 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255294 + ... + 255834.

Almost surely, 2138260124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138260124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181504960).

138260124 is an abundant number, since it is smaller than the sum of its proper divisors (224749796).

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

138260124 is a wasteful number, since it uses less digits than its factorization.

138260124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138260124 is about 11758.4065246954. The cubic root of 138260124 is about 517.0894145776.

It can be divided in two parts, 138260 and 124, that added together give a square (138384 = 3722).

The spelling of 138260124 in words is "one hundred thirty-eight million, two hundred sixty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 229 279 372 458 541 558 687 916 1082 1116 1374 1623 2061 2164 2748 3246 4122 4869 6492 7099 8244 9738 14198 16771 19476 21297 28396 33542 42594 50313 63891 67084 85188 100626 123889 127782 150939 201252 247778 255564 301878 371667 495556 603756 743334 1115001 1486668 2230002 3840559 4460004 7681118 11521677 15362236 23043354 34565031 46086708 69130062 138260124