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21429024 = 253223219
BaseRepresentation
bin101000110111…
…1101100100000
31111022201002120
41101233230200
520441212044
62043144240
7350100201
oct121575440
944281076
1021429024
1111106a41
127215080
1345939c6
142bbb5a8
151d34519
hex146fb20

21429024 has 24 divisors (see below), whose sum is σ = 56251440. Its totient is φ = 7142976.

The previous prime is 21429011. The next prime is 21429041. The reversal of 21429024 is 42092412.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 21428985 and 21429003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111514 + ... + 111705.

It is an arithmetic number, because the mean of its divisors is an integer number (2343810).

Almost surely, 221429024 is an apocalyptic number.

21429024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21429024 is an abundant number, since it is smaller than the sum of its proper divisors (34822416).

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

21429024 is a wasteful number, since it uses less digits than its factorization.

21429024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223232 (or 223224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21429024 is about 4629.1493819059. The cubic root of 21429024 is about 277.7585675367.

The spelling of 21429024 in words is "twenty-one million, four hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223219 446438 669657 892876 1339314 1785752 2678628 3571504 5357256 7143008 10714512 21429024