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21474024 = 23311136257
BaseRepresentation
bin101000111101…
…0101011101000
31111101222211020
41101322223220
520444132044
62044132440
7350345325
oct121725350
944358736
1021474024
1111137830
127237120
1345ab330
142bcdb4c
151d42a19
hex147aae8

21474024 has 64 divisors (see below), whose sum is σ = 63080640. Its totient is φ = 6005760.

The previous prime is 21473987. The next prime is 21474031. The reversal of 21474024 is 42047412.

It is a super-2 number, since 2×214740242 = 922267413505152, which contains 22 as substring.

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 = 21473985 and 21474003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304 + ... + 6560.

It is an arithmetic number, because the mean of its divisors is an integer number (985635).

Almost surely, 221474024 is an apocalyptic number.

21474024 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 21474024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540320).

21474024 is an abundant number, since it is smaller than the sum of its proper divisors (41606616).

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

21474024 is a wasteful number, since it uses less digits than its factorization.

21474024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 21474024 is about 4634.0073370680. The cubic root of 21474024 is about 277.9528584903.

The spelling of 21474024 in words is "twenty-one million, four hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 6257 12514 18771 25028 37542 50056 68827 75084 81341 137654 150168 162682 206481 244023 275308 325364 412962 488046 550616 650728 825924 894751 976092 1651848 1789502 1952184 2684253 3579004 5368506 7158008 10737012 21474024