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21669024 = 2531397179
BaseRepresentation
bin101001010101…
…0010010100000
31111202220022110
41102222102200
521021402044
62052235320
7352116666
oct122522240
944686273
1021669024
1111260293
12730bb40
134649010
142c40c36
151d806b9
hex14aa4a0

21669024 has 96 divisors (see below), whose sum is σ = 62233920. Its totient is φ = 6561792.

The previous prime is 21669019. The next prime is 21669029. The reversal of 21669024 is 42096612.

It is a Cunningham number, because it is equal to 46552-1.

It is an interprime number because it is at equal distance from previous prime (21669019) and next prime (21669029).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×216690242 = 939093202225152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21668982 and 21669000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21669029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120967 + ... + 121145.

It is an arithmetic number, because the mean of its divisors is an integer number (648270).

Almost surely, 221669024 is an apocalyptic number.

21669024 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 21669024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31116960).

21669024 is an abundant number, since it is smaller than the sum of its proper divisors (40564896).

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

21669024 is a wasteful number, since it uses less digits than its factorization.

21669024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 21669024 is about 4654.9998925886. Note that the first 3 decimals coincide. The cubic root of 21669024 is about 278.7916636900.

The spelling of 21669024 in words is "twenty-one million, six hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 179 194 208 291 312 358 388 416 537 582 624 716 776 1074 1164 1248 1261 1432 1552 2148 2327 2328 2522 2864 3104 3783 4296 4654 4656 5044 5728 6981 7566 8592 9308 9312 10088 13962 15132 17184 17363 18616 20176 27924 30264 34726 37232 40352 52089 55848 60528 69452 74464 104178 111696 121056 138904 208356 223392 225719 277808 416712 451438 555616 677157 833424 902876 1354314 1666848 1805752 2708628 3611504 5417256 7223008 10834512 21669024