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138042996 = 223721318059
BaseRepresentation
bin10000011101001…
…01111001110100
3100121202022101120
420032211321310
5240314333441
621410423540
73264226500
oct1016457164
9317668346
10138042996
1170a15823
123a291bb0
13227a3660
1414495300
15c1bb966
hex83a5e74

138042996 has 72 divisors (see below), whose sum is σ = 403532640. Its totient is φ = 36404928.

The previous prime is 138042977. The next prime is 138042997. The reversal of 138042996 is 699240831.

138042996 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138042997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386 + ... + 16673.

It is an arithmetic number, because the mean of its divisors is an integer number (5604620).

Almost surely, 2138042996 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 138042996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201766320).

138042996 is an abundant number, since it is smaller than the sum of its proper divisors (265489644).

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

138042996 is a wasteful number, since it uses less digits than its factorization.

138042996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18093 (or 18084 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 138042996 is about 11749.1700132392. The cubic root of 138042996 is about 516.8185883223.

The spelling of 138042996 in words is "one hundred thirty-eight million, forty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 18059 36118 54177 72236 108354 126413 216708 234767 252826 379239 469534 505652 704301 758478 884891 939068 1408602 1516956 1643369 1769782 2654673 2817204 3286738 3539564 4930107 5309346 6573476 9860214 10618692 11503583 19720428 23007166 34510749 46014332 69021498 138042996