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1680371238 = 2371379163239
BaseRepresentation
bin110010000101000…
…0110111000100110
311100002220200222210
41210022012320212
511420133334423
6434424104250
756432630340
oct14412067046
94302820883
101680371238
11792586867
123aa905086
1320a196110
1411d256290
159c7c7b93
hex64286e26

1680371238 has 128 divisors (see below), whose sum is σ = 4231987200. Its totient is φ = 433060992.

The previous prime is 1680371233. The next prime is 1680371263. The reversal of 1680371238 is 8321730861.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1680371196 and 1680371205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680371233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7030723 + ... + 7030961.

It is an arithmetic number, because the mean of its divisors is an integer number (33062400).

Almost surely, 21680371238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680371238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115993600).

1680371238 is an abundant number, since it is smaller than the sum of its proper divisors (2551615962).

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

1680371238 is a wasteful number, since it uses less digits than its factorization.

1680371238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1680371238 is about 40992.3314535780. The cubic root of 1680371238 is about 1188.8719479805.

The spelling of 1680371238 in words is "one billion, six hundred eighty million, three hundred seventy-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 158 163 182 237 239 273 326 474 478 489 546 553 717 978 1027 1106 1141 1434 1659 1673 2054 2119 2282 3081 3107 3318 3346 3423 4238 5019 6162 6214 6357 6846 7189 9321 10038 12714 12877 14378 14833 18642 18881 21567 21749 25754 29666 37762 38631 38957 43134 43498 44499 56643 65247 77262 77914 88998 90139 113286 116871 130494 132167 167401 180278 233742 245453 264334 270417 272699 334802 396501 490906 502203 506441 540834 545398 736359 793002 818097 1004406 1012882 1171807 1472718 1519323 1636194 1718171 2343614 3038646 3077603 3436342 3515421 3545087 5154513 6155206 7030842 7090174 9232809 10309026 10635261 18465618 21270522 21543221 40008839 43086442 64629663 80017678 120026517 129259326 240053034 280061873 560123746 840185619 1680371238