Search a number
-
+
21473088 = 2637131229
BaseRepresentation
bin101000111101…
…0011101000000
31111101221112120
41101322131000
520444114323
62044124240
7350342520
oct121723500
944357476
1021473088
111113705a
127236680
1345aaa90
142bcd680
151d425e3
hex147a740

21473088 has 112 divisors (see below), whose sum is σ = 69982080. Its totient is φ = 5658624.

The previous prime is 21473087. The next prime is 21473093. The reversal of 21473088 is 88037412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×214730882 = 922187016511488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21473087) 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 15 ways as a sum of consecutive naturals, for example, 16858 + ... + 18086.

It is an arithmetic number, because the mean of its divisors is an integer number (624840).

Almost surely, 221473088 is an apocalyptic number.

21473088 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 21473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34991040).

21473088 is an abundant number, since it is smaller than the sum of its proper divisors (48508992).

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

21473088 is a wasteful number, since it uses less digits than its factorization.

21473088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 21473088 is about 4633.9063434644. The cubic root of 21473088 is about 277.9488200040.

The spelling of 21473088 in words is "twenty-one million, four hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1229 1248 1344 1456 2184 2458 2496 2912 3687 4368 4916 5824 7374 8603 8736 9832 14748 15977 17206 17472 19664 25809 29496 31954 34412 39328 47931 51618 58992 63908 68824 78656 95862 103236 111839 117984 127816 137648 191724 206472 223678 235968 255632 275296 335517 383448 412944 447356 511264 550592 671034 766896 825888 894712 1022528 1342068 1533792 1651776 1789424 2684136 3067584 3578848 5368272 7157696 10736544 21473088