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16968588 = 22371341379
BaseRepresentation
bin100000010111…
…0101110001100
31011221002112020
41000232232030
513320443323
61403410140
7264142050
oct100565614
934832466
1016968588
11963a82a
125823950
1336916b0
142379c60
151752ae3
hex102eb8c

16968588 has 96 divisors (see below), whose sum is σ = 50050560. Its totient is φ = 4354560.

The previous prime is 16968583. The next prime is 16968599. The reversal of 16968588 is 88586961.

It is a self number, because there is not a number n which added to its sum of digits gives 16968588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16968583) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44583 + ... + 44961.

It is an arithmetic number, because the mean of its divisors is an integer number (521360).

Almost surely, 216968588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16968588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25025280).

16968588 is an abundant number, since it is smaller than the sum of its proper divisors (33081972).

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

16968588 is a wasteful number, since it uses less digits than its factorization.

16968588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 16968588 is about 4119.2945998071. The cubic root of 16968588 is about 256.9696906425.

The spelling of 16968588 in words is "sixteen million, nine hundred sixty-eight thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 78 82 84 91 123 156 164 182 246 273 287 364 379 492 533 546 574 758 861 1066 1092 1137 1148 1516 1599 1722 2132 2274 2653 3198 3444 3731 4548 4927 5306 6396 7462 7959 9854 10612 11193 14781 14924 15539 15918 19708 22386 29562 31078 31836 34489 44772 46617 59124 62156 68978 93234 103467 108773 137956 186468 202007 206934 217546 326319 404014 413868 435092 606021 652638 808028 1212042 1305276 1414049 2424084 2828098 4242147 5656196 8484294 16968588