Search a number
-
+
21580992 = 263423181
BaseRepresentation
bin101001001010…
…0110011000000
31111121102120000
41102110303000
521011042432
62050320000
7351302226
oct122246300
944542500
1021580992
1111200134
127289000
134617c24
142c1ab16
151d6457c
hex1494cc0

21580992 has 140 divisors (see below), whose sum is σ = 67123056. Its totient is φ = 6842880.

The previous prime is 21580967. The next prime is 21581003. The reversal of 21580992 is 29908512.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119142 + ... + 119322.

Almost surely, 221580992 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 21580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33561528).

21580992 is an abundant number, since it is smaller than the sum of its proper divisors (45542064).

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

21580992 is a wasteful number, since it uses less digits than its factorization.

21580992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 21580992 is about 4645.5346301583. The cubic root of 21580992 is about 278.4136140786.

The spelling of 21580992 in words is "twenty-one million, five hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 181 184 192 207 216 276 288 324 362 368 414 432 543 552 576 621 648 724 736 828 864 1086 1104 1242 1296 1448 1472 1629 1656 1728 1863 2172 2208 2484 2592 2896 3258 3312 3726 4163 4344 4416 4887 4968 5184 5792 6516 6624 7452 8326 8688 9774 9936 11584 12489 13032 13248 14661 14904 16652 17376 19548 19872 24978 26064 29322 29808 33304 34752 37467 39096 39744 49956 52128 58644 59616 66608 74934 78192 99912 104256 112401 117288 119232 133216 149868 156384 199824 224802 234576 266432 299736 312768 337203 399648 449604 469152 599472 674406 799296 899208 938304 1198944 1348812 1798416 2397888 2697624 3596832 5395248 7193664 10790496 21580992