Search a number
-
+
137673096 = 233116183103
BaseRepresentation
bin10000011010010…
…11100110001000
3100121001111222120
420031023212020
5240221014341
621354451240
73261126201
oct1015134610
9317044876
10137673096
1170792920
123a133b20
13226a4192
14143da5a8
15c147066
hex834b988

137673096 has 128 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 40147200.

The previous prime is 137673091. The next prime is 137673103. The reversal of 137673096 is 690376731.

It is not an unprimeable number, because it can be changed into a prime (137673091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336581 + ... + 1336683.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2137673096 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 137673096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

137673096 is an abundant number, since it is smaller than the sum of its proper divisors (252301944).

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

137673096 is a wasteful number, since it uses less digits than its factorization.

137673096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The square root of 137673096 is about 11733.4179163618. The cubic root of 137673096 is about 516.3565530383.

The spelling of 137673096 in words is "one hundred thirty-seven million, six hundred seventy-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 83 88 103 122 132 166 183 206 244 249 264 309 332 366 412 488 498 618 664 671 732 824 913 996 1133 1236 1342 1464 1826 1992 2013 2266 2472 2684 2739 3399 3652 4026 4532 5063 5368 5478 6283 6798 7304 8052 8549 9064 10126 10956 12566 13596 15189 16104 17098 18849 20252 21912 25132 25647 27192 30378 34196 37698 40504 50264 51294 55693 60756 68392 69113 75396 94039 102588 111386 121512 138226 150792 167079 188078 205176 207339 222772 276452 282117 334158 376156 414678 445544 521489 552904 564234 668316 752312 829356 1042978 1128468 1336632 1564467 1658712 2085956 2256936 3128934 4171912 5736379 6257868 11472758 12515736 17209137 22945516 34418274 45891032 68836548 137673096