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21814740 = 22325177129
BaseRepresentation
bin101001100110…
…1110111010100
31112001022012100
41103031313110
521041032430
62055322100
7353264553
oct123156724
945038170
1021814740
111134a812
127380330
13469a43c
142c7bd9a
151dad960
hex14cddd4

21814740 has 72 divisors (see below), whose sum is σ = 70073640. Its totient is φ = 5474304.

The previous prime is 21814739. The next prime is 21814777. The reversal of 21814740 is 4741812.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 16112196 = 2388^2 + 4014^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505 + ... + 6624.

It is an arithmetic number, because the mean of its divisors is an integer number (973245).

Almost surely, 221814740 is an apocalyptic number.

21814740 is a gapful number since it is divisible by the number (20) 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 21814740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35036820).

21814740 is an abundant number, since it is smaller than the sum of its proper divisors (48258900).

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

21814740 is a wasteful number, since it uses less digits than its factorization.

21814740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21814740 is about 4670.6252258129. The cubic root of 21814740 is about 279.4151909807.

The spelling of 21814740 in words is "twenty-one million, eight hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7129 14258 21387 28516 35645 42774 64161 71290 85548 106935 121193 128322 142580 213870 242386 256644 320805 363579 427740 484772 605965 641610 727158 1090737 1211930 1283220 1454316 1817895 2181474 2423860 3635790 4362948 5453685 7271580 10907370 21814740