[go: up one dir, main page]

Search a number
-
+
21665424 = 24311371109
BaseRepresentation
bin101001010100…
…1011010010000
31111202201101010
41102221122100
521021243144
62052210520
7352103334
oct122513220
944681333
1021665424
1111258610
127309a40
1346474a1
142c3d7c4
151d7e5b9
hex14a9690

21665424 has 80 divisors (see below), whose sum is σ = 62763840. Its totient is φ = 6382080.

The previous prime is 21665401. The next prime is 21665473. The reversal of 21665424 is 42456612.

It is a super-3 number, since 3×216654243 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21665391 and 21665400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18982 + ... + 20090.

It is an arithmetic number, because the mean of its divisors is an integer number (784548).

Almost surely, 221665424 is an apocalyptic number.

21665424 is a gapful number since it is divisible by the number (24) 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 21665424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31381920).

21665424 is an abundant number, since it is smaller than the sum of its proper divisors (41098416).

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

21665424 is a wasteful number, since it uses less digits than its factorization.

21665424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 21665424 is about 4654.6131955298. The cubic root of 21665424 is about 278.7762237456.

The spelling of 21665424 in words is "twenty-one million, six hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1109 1221 1628 1776 2218 2442 3256 3327 4436 4884 6512 6654 8872 9768 12199 13308 17744 19536 24398 26616 36597 41033 48796 53232 73194 82066 97592 123099 146388 164132 195184 246198 292776 328264 451363 492396 585552 656528 902726 984792 1354089 1805452 1969584 2708178 3610904 5416356 7221808 10832712 21665424