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13442814 = 2337115361
BaseRepresentation
bin110011010001…
…111011111110
3221021222002000
4303101323332
511420132224
61200043130
7222155610
oct63217376
927258060
1013442814
117651870
1246034a6
132a28938
141adcdb0
1512a80c9
hexcd1efe

13442814 has 128 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3369600.

The previous prime is 13442791. The next prime is 13442831. The reversal of 13442814 is 41824431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 220344 + ... + 220404.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 213442814 is an apocalyptic number.

13442814 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 13442814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

13442814 is an abundant number, since it is smaller than the sum of its proper divisors (25126146).

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

13442814 is a wasteful number, since it uses less digits than its factorization.

13442814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 13442814 is about 3666.4443265922. Note that the first 3 decimals coincide. The cubic root of 13442814 is about 237.7734704014.

The spelling of 13442814 in words is "thirteen million, four hundred forty-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 53 54 61 63 66 77 99 106 122 126 154 159 183 189 198 231 297 318 366 371 378 427 462 477 549 583 594 671 693 742 854 954 1098 1113 1166 1281 1342 1386 1431 1647 1749 2013 2079 2226 2562 2862 3233 3294 3339 3498 3843 4026 4081 4158 4697 5247 6039 6466 6678 7686 8162 9394 9699 10017 10494 11529 12078 12243 14091 15741 18117 19398 20034 22631 23058 24486 28182 29097 31482 35563 36234 36729 42273 45262 58194 67893 71126 73458 84546 87291 106689 110187 126819 135786 174582 203679 213378 220374 248941 253638 320067 407358 497882 611037 640134 746823 960201 1222074 1493646 1920402 2240469 4480938 6721407 13442814