Search a number
-
+
21159288 = 23321759293
BaseRepresentation
bin101000010110…
…1110101111000
31110211000002100
41100231311320
520404044123
62033303400
7344564613
oct120556570
943730070
1021159288
1110a42317
127104b60
1344cacb7
142b4b17a
151cce643
hex142dd78

21159288 has 96 divisors (see below), whose sum is σ = 61916400. Its totient is φ = 6503424.

The previous prime is 21159263. The next prime is 21159319. The reversal of 21159288 is 88295112.

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

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 23 ways as a sum of consecutive naturals, for example, 72070 + ... + 72362.

Almost surely, 221159288 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 21159288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30958200).

21159288 is an abundant number, since it is smaller than the sum of its proper divisors (40757112).

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

21159288 is a wasteful number, since it uses less digits than its factorization.

21159288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 21159288 is about 4599.9226080446. The cubic root of 21159288 is about 276.5882224663.

The spelling of 21159288 in words is "twenty-one million, one hundred fifty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 59 68 72 102 118 136 153 177 204 236 293 306 354 408 472 531 586 612 708 879 1003 1062 1172 1224 1416 1758 2006 2124 2344 2637 3009 3516 4012 4248 4981 5274 6018 7032 8024 9027 9962 10548 12036 14943 17287 18054 19924 21096 24072 29886 34574 36108 39848 44829 51861 59772 69148 72216 89658 103722 119544 138296 155583 179316 207444 293879 311166 358632 414888 587758 622332 881637 1175516 1244664 1763274 2351032 2644911 3526548 5289822 7053096 10579644 21159288