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137383884 = 223311210513
BaseRepresentation
bin10000011000001…
…00111111001100
3100120111211021000
420030010333030
5240132241014
621344340300
73255513051
oct1014047714
9316454230
10137383884
1170605600
123a014690
1322602651
1414363028
15c0db509
hex8304fcc

137383884 has 72 divisors (see below), whose sum is σ = 391541360. Its totient is φ = 41627520.

The previous prime is 137383879. The next prime is 137383903. The reversal of 137383884 is 488383731.

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, 7812 + ... + 18324.

Almost surely, 2137383884 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 137383884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195770680).

137383884 is an abundant number, since it is smaller than the sum of its proper divisors (254157476).

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

137383884 is a wasteful number, since it uses less digits than its factorization.

137383884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10529 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 137383884 is about 11721.0871509430. The cubic root of 137383884 is about 515.9947268255.

The spelling of 137383884 in words is "one hundred thirty-seven million, three hundred eighty-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 10513 13068 21026 31539 42052 63078 94617 115643 126156 189234 231286 283851 346929 378468 462572 567702 693858 1040787 1135404 1272073 1387716 2081574 2544146 3122361 3816219 4163148 5088292 6244722 7632438 11448657 12489444 15264876 22897314 34345971 45794628 68691942 137383884