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138590676 = 2235720369
BaseRepresentation
bin10000100001010…
…11100111010100
3100122210010200000
420100223213110
5240434400201
621430251300
73302000310
oct1020534724
9318703600
10138590676
117125a254
123a4b6b30
1322935a23
1414598b40
15c278d86
hex842b9d4

138590676 has 72 divisors (see below), whose sum is σ = 415222080. Its totient is φ = 39595392.

The previous prime is 138590659. The next prime is 138590687. The reversal of 138590676 is 676095831.

It is a happy number.

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, 3381 + ... + 16988.

Almost surely, 2138590676 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 138590676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207611040).

138590676 is an abundant number, since it is smaller than the sum of its proper divisors (276631404).

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

138590676 is a wasteful number, since it uses less digits than its factorization.

138590676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20395 (or 20381 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 138590676 is about 11772.4541196812. The cubic root of 138590676 is about 517.5011720200.

The spelling of 138590676 in words is "one hundred thirty-eight million, five hundred ninety thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 20369 40738 61107 81476 122214 142583 183321 244428 285166 366642 427749 549963 570332 733284 855498 1099926 1283247 1649889 1710996 2199852 2566494 3299778 3849741 4949667 5132988 6599556 7699482 9899334 11549223 15398964 19798668 23098446 34647669 46196892 69295338 138590676