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21967308 = 2233112412
BaseRepresentation
bin101001111001…
…1000111001100
31112100001111000
41103303013030
521110423213
62102500300
7354501426
oct123630714
945301430
1021967308
1111444400
127434690
134721a0c
142cbb816
151dddc73
hex14f31cc

21967308 has 108 divisors (see below), whose sum is σ = 64164520. Its totient is φ = 6494400.

The previous prime is 21967303. The next prime is 21967331. The reversal of 21967308 is 80376912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (21967303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 535768 + ... + 535808.

Almost surely, 221967308 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 21967308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32082260).

21967308 is an abundant number, since it is smaller than the sum of its proper divisors (42197212).

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

21967308 is a wasteful number, since it uses less digits than its factorization.

21967308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21967308 is about 4686.9294852814. The cubic root of 21967308 is about 280.0650699111.

The spelling of 21967308 in words is "twenty-one million, nine hundred sixty-seven thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 121 123 132 164 198 242 246 297 363 369 396 451 484 492 594 726 738 902 1089 1107 1188 1353 1452 1476 1681 1804 2178 2214 2706 3267 3362 4059 4356 4428 4961 5043 5412 6534 6724 8118 9922 10086 12177 13068 14883 15129 16236 18491 19844 20172 24354 29766 30258 36982 44649 45387 48708 55473 59532 60516 73964 89298 90774 110946 133947 166419 178596 181548 203401 221892 267894 332838 406802 499257 535788 610203 665676 813604 998514 1220406 1830609 1997028 2440812 3661218 5491827 7322436 10983654 21967308