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20971314 = 23272133159
BaseRepresentation
bin100111111111…
…1111100110010
31110110110020100
41033333330302
520332040224
62025253230
7343152600
oct117777462
943413210
1020971314
1110924071
127034216
134463580
142adc870
151c93ac9
hex13fff32

20971314 has 144 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 5261760.

The previous prime is 20971297. The next prime is 20971381. The reversal of 20971314 is 41317902.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355417 + ... + 355475.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 220971314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20971314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

20971314 is an abundant number, since it is smaller than the sum of its proper divisors (38782926).

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

20971314 is a wasteful number, since it uses less digits than its factorization.

20971314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20971314 is about 4579.4447261650. Note that the first 3 decimals coincide. The cubic root of 20971314 is about 275.7667373802.

The spelling of 20971314 in words is "twenty million, nine hundred seventy-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 59 62 63 78 91 93 98 117 118 126 147 177 182 186 217 234 273 279 294 354 403 413 434 441 531 546 558 637 651 767 806 819 826 882 1062 1209 1239 1274 1302 1519 1534 1638 1829 1911 1953 2301 2418 2478 2821 2891 3038 3627 3658 3717 3822 3906 4557 4602 5369 5487 5642 5733 5782 6903 7254 7434 8463 8673 9114 10738 10974 11466 12803 13671 13806 16107 16461 16926 17346 19747 23777 25389 25606 26019 27342 32214 32922 37583 38409 39494 47554 48321 50778 52038 59241 71331 75166 76818 89621 96642 112749 115227 118482 142662 166439 177723 179242 213993 225498 230454 268863 332878 338247 355446 427986 499317 537726 676494 806589 998634 1165073 1497951 1613178 2330146 2995902 3495219 6990438 10485657 20971314