Search a number
-
+
21363888 = 2437136773
BaseRepresentation
bin101000101111…
…1110010110000
31111012101202010
41101133302300
520432121023
62041522520
7346406250
oct121376260
944171663
1021363888
1111072007
1271a3440
134570170
142ba1960
151d20093
hex145fcb0

21363888 has 160 divisors (see below), whose sum is σ = 69884416. Its totient is φ = 5474304.

The previous prime is 21363887. The next prime is 21363899. The reversal of 21363888 is 88836312.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21363887) 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 31 ways as a sum of consecutive naturals, for example, 292620 + ... + 292692.

Almost surely, 221363888 is an apocalyptic number.

21363888 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 21363888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34942208).

21363888 is an abundant number, since it is smaller than the sum of its proper divisors (48520528).

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

21363888 is a wasteful number, since it uses less digits than its factorization.

21363888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 21363888 is about 4622.1086097148. The cubic root of 21363888 is about 277.4768554677.

The spelling of 21363888 in words is "twenty-one million, three hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 67 73 78 84 91 104 112 134 146 156 168 182 201 208 219 268 273 292 312 336 364 402 438 469 511 536 546 584 624 728 804 871 876 938 949 1022 1072 1092 1168 1407 1456 1533 1608 1742 1752 1876 1898 2044 2184 2613 2814 2847 3066 3216 3484 3504 3752 3796 4088 4368 4891 5226 5628 5694 6097 6132 6643 6968 7504 7592 8176 9782 10452 11256 11388 12194 12264 13286 13936 14673 15184 18291 19564 19929 20904 22512 22776 24388 24528 26572 29346 34237 36582 39128 39858 41808 45552 48776 53144 58692 63583 68474 73164 78256 79716 97552 102711 106288 117384 127166 136948 146328 159432 190749 205422 234768 254332 273896 292656 318864 381498 410844 445081 508664 547792 762996 821688 890162 1017328 1335243 1525992 1643376 1780324 2670486 3051984 3560648 5340972 7121296 10681944 21363888