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1970966382 = 2371129157937
BaseRepresentation
bin111010101111010…
…1000111101101110
312002100201110120220
41311132220331232
513014031411012
6523324352210
766561636450
oct16536507556
95070643526
101970966382
11921617240
124700a5666
132554501c8
14149a9c2d0
15b807a08c
hex757a8f6e

1970966382 has 128 divisors (see below), whose sum is σ = 5121930240. Its totient is φ = 490613760.

The previous prime is 1970966359. The next prime is 1970966399. The reversal of 1970966382 is 2836690791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2103018 + ... + 2103954.

It is an arithmetic number, because the mean of its divisors is an integer number (40015080).

Almost surely, 21970966382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1970966382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560965120).

1970966382 is an abundant number, since it is smaller than the sum of its proper divisors (3150963858).

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

1970966382 is a wasteful number, since it uses less digits than its factorization.

1970966382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146.

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 1970966382 is about 44395.5671435786. The cubic root of 1970966382 is about 1253.7946304606.

The spelling of 1970966382 in words is "one billion, nine hundred seventy million, nine hundred sixty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 157 174 203 231 314 319 406 462 471 609 638 937 942 957 1099 1218 1727 1874 1914 2198 2233 2811 3297 3454 4466 4553 5181 5622 6559 6594 6699 9106 10307 10362 12089 13118 13398 13659 19677 20614 24178 27173 27318 30921 31871 36267 39354 50083 54346 61842 63742 72149 72534 81519 95613 100166 144298 147109 150249 163038 190211 191226 216447 294218 298903 300498 350581 380422 432894 441327 570633 597806 701162 882654 896709 1029763 1051743 1141266 1618199 1793418 2059526 2092321 2103486 3089289 3236398 4184642 4266161 4854597 6178578 6276963 8532322 9709194 11327393 12553926 12798483 22654786 25596966 29863127 33982179 46927771 59726254 67964358 89589381 93855542 140783313 179178762 281566626 328494397 656988794 985483191 1970966382