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21199668 = 22371937359
BaseRepresentation
bin101000011011…
…1101100110100
31110220001110220
41100313230310
520411342133
62034214340
7345123420
oct120675464
943801426
1021199668
1110a6a696
1271243b0
1345134a9
142b5bb80
151cdb5b3
hex1437b34

21199668 has 96 divisors (see below), whose sum is σ = 61286400. Its totient is φ = 5567616.

The previous prime is 21199643. The next prime is 21199681. The reversal of 21199668 is 86699112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58873 + ... + 59231.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 221199668 is an apocalyptic number.

21199668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21199668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643200).

21199668 is an abundant number, since it is smaller than the sum of its proper divisors (40086732).

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

21199668 is a wasteful number, since it uses less digits than its factorization.

21199668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 21199668 is about 4604.3097202512. The cubic root of 21199668 is about 276.7640559706.

The spelling of 21199668 in words is "twenty-one million, one hundred ninety-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 37 38 42 57 74 76 84 111 114 133 148 222 228 259 266 359 399 444 518 532 703 718 777 798 1036 1077 1406 1436 1554 1596 2109 2154 2513 2812 3108 4218 4308 4921 5026 6821 7539 8436 9842 10052 13283 13642 14763 15078 19684 20463 26566 27284 29526 30156 39849 40926 47747 53132 59052 79698 81852 92981 95494 143241 159396 185962 190988 252377 278943 286482 371924 504754 557886 572964 757131 1009508 1115772 1514262 1766639 3028524 3533278 5299917 7066556 10599834 21199668