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138010096 = 2472415113
BaseRepresentation
bin10000011100111…
…01110111110000
3100121200122021001
420032131313300
5240312310341
621410011344
73264031540
oct1016356760
9317618231
10138010096
11709a3034
123a276b54
13227916a3
1414487320
15c1b1d31
hex839ddf0

138010096 has 40 divisors (see below), whose sum is σ = 306921824. Its totient is φ = 58890240.

The previous prime is 138010087. The next prime is 138010099. The reversal of 138010096 is 690010831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138010099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24436 + ... + 29548.

Almost surely, 2138010096 is an apocalyptic number.

138010096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138010096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153460912).

138010096 is an abundant number, since it is smaller than the sum of its proper divisors (168911728).

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

138010096 is a wasteful number, since it uses less digits than its factorization.

138010096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 138010096 is about 11747.7698309083. The cubic root of 138010096 is about 516.7775270032. Note that the first 3 decimals are identical.

It can be divided in two parts, 1380 and 10096, that added together give a triangular number (11476 = T151).

The spelling of 138010096 in words is "one hundred thirty-eight million, ten thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 5113 6748 10226 13496 20452 26992 35791 40904 71582 81808 143164 286328 572656 1232233 2464466 4928932 8625631 9857864 17251262 19715728 34502524 69005048 138010096