Search a number
-
+
21933740 = 22517312081
BaseRepresentation
bin101001110101…
…0111010101100
31112021100102202
41103222322230
521103334430
62102041032
7354301523
oct123527254
945240382
1021933740
1111421164
127419178
13470c65a
142cad4ba
151dd3d45
hex14eaeac

21933740 has 48 divisors (see below), whose sum is σ = 50367744. Its totient is φ = 7987200.

The previous prime is 21933739. The next prime is 21933767. The reversal of 21933740 is 4733912.

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, 9500 + ... + 11580.

It is an arithmetic number, because the mean of its divisors is an integer number (1049328).

Almost surely, 221933740 is an apocalyptic number.

21933740 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 21933740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25183872).

21933740 is an abundant number, since it is smaller than the sum of its proper divisors (28434004).

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

21933740 is a wasteful number, since it uses less digits than its factorization.

21933740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 21933740 is about 4683.3470936927. The cubic root of 21933740 is about 279.9223424094.

The spelling of 21933740 in words is "twenty-one million, nine hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2081 2108 2635 4162 5270 8324 10405 10540 20810 35377 41620 64511 70754 129022 141508 176885 258044 322555 353770 645110 707540 1096687 1290220 2193374 4386748 5483435 10966870 21933740