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13987974 = 237111317137
BaseRepresentation
bin110101010111…
…000010000110
3222022122220010
4311113002012
512040103344
61215451050
7226616160
oct65270206
928278803
1013987974
117994410
124826a86
132b89b10
141c01930
1513648b9
hexd57086

13987974 has 128 divisors (see below), whose sum is σ = 40061952. Its totient is φ = 3133440.

The previous prime is 13987969. The next prime is 13987997. The reversal of 13987974 is 47978931.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 102034 + ... + 102170.

It is an arithmetic number, because the mean of its divisors is an integer number (312984).

Almost surely, 213987974 is an apocalyptic number.

13987974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13987974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976).

13987974 is an abundant number, since it is smaller than the sum of its proper divisors (26073978).

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

13987974 is a wasteful number, since it uses less digits than its factorization.

13987974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its digits is 381024, while the sum is 48.

The square root of 13987974 is about 3740.0499996658. The cubic root of 13987974 is about 240.9451962413.

The spelling of 13987974 in words is "thirteen million, nine hundred eighty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 137 143 154 182 187 221 231 238 273 274 286 357 374 411 429 442 462 546 561 663 714 822 858 959 1001 1122 1309 1326 1507 1547 1781 1918 2002 2329 2431 2618 2877 3003 3014 3094 3562 3927 4521 4641 4658 4862 5343 5754 6006 6987 7293 7854 9042 9282 10549 10686 12467 13974 14586 16303 17017 19591 21098 24934 25619 30277 31647 32606 34034 37401 39182 48909 51051 51238 58773 60554 63294 74802 76857 90831 97818 102102 117546 137137 153714 179333 181662 211939 274274 333047 358666 411411 423878 537999 635817 666094 822822 999141 1075998 1271634 1998282 2331329 4662658 6993987 13987974