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21279468 = 22371967199
BaseRepresentation
bin101000100101…
…1001011101100
31111001002221110
41101023023230
520421420333
62040032020
7345605160
oct121131354
944032843
1021279468
1111014641
127162610
134540902
142b7cca0
151d05063
hex144b2ec

21279468 has 96 divisors (see below), whose sum is σ = 60928000. Its totient is φ = 5645376.

The previous prime is 21279463. The next prime is 21279469. The reversal of 21279468 is 86497212.

It is not an unprimeable number, because it can be changed into a prime (21279463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106833 + ... + 107031.

Almost surely, 221279468 is an apocalyptic number.

21279468 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 21279468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30464000).

21279468 is an abundant number, since it is smaller than the sum of its proper divisors (39648532).

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

21279468 is a wasteful number, since it uses less digits than its factorization.

21279468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 21279468 is about 4612.9673746949. The cubic root of 21279468 is about 277.1108871513.

The spelling of 21279468 in words is "twenty-one million, two hundred seventy-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 67 76 84 114 133 134 199 201 228 266 268 398 399 402 469 532 597 796 798 804 938 1194 1273 1393 1407 1596 1876 2388 2546 2786 2814 3781 3819 4179 5092 5572 5628 7562 7638 8358 8911 11343 13333 15124 15276 16716 17822 22686 26467 26666 26733 35644 39999 45372 52934 53332 53466 79401 79998 93331 105868 106932 158802 159996 186662 253327 279993 317604 373324 506654 559986 759981 1013308 1119972 1519962 1773289 3039924 3546578 5319867 7093156 10639734 21279468