Search a number
-
+
21872676 = 223717353
BaseRepresentation
bin101001101110…
…0000000100100
31112011020200010
41103130000210
521044411201
62100450220
7353625510
oct123340044
945136603
1021872676
111138a2a1
1273a9970
1346ba917
142c95140
151dc0bd6
hex14dc024

21872676 has 96 divisors (see below), whose sum is σ = 63141120. Its totient is φ = 5770752.

The previous prime is 21872663. The next prime is 21872689. The reversal of 21872676 is 67627812.

It is an interprime number because it is at equal distance from previous prime (21872663) and next prime (21872689).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412666 + ... + 412718.

It is an arithmetic number, because the mean of its divisors is an integer number (657720).

Almost surely, 221872676 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 21872676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31570560).

21872676 is an abundant number, since it is smaller than the sum of its proper divisors (41268444).

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

21872676 is a wasteful number, since it uses less digits than its factorization.

21872676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 21872676 is about 4676.8232808179. The cubic root of 21872676 is about 279.6623310435.

The spelling of 21872676 in words is "twenty-one million, eight hundred seventy-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 53 68 84 102 106 119 159 204 212 238 289 318 357 371 476 578 636 714 742 867 901 1113 1156 1428 1484 1734 1802 2023 2226 2703 3468 3604 4046 4452 4913 5406 6069 6307 8092 9826 10812 12138 12614 14739 15317 18921 19652 24276 25228 29478 30634 34391 37842 45951 58956 61268 68782 75684 91902 103173 107219 137564 183804 206346 214438 260389 321657 412692 428876 520778 643314 781167 1041556 1286628 1562334 1822723 3124668 3645446 5468169 7290892 10936338 21872676