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21932940 = 22351732113
BaseRepresentation
bin101001110101…
…0101110001100
31112021022100010
41103222232030
521103323230
62102033220
7354266301
oct123525614
945238303
1021932940
11114205a7
127418810
13470c193
142cad0a8
151dd39b0
hex14eab8c

21932940 has 48 divisors (see below), whose sum is σ = 61796448. Its totient is φ = 5812224.

The previous prime is 21932927. The next prime is 21932947. The reversal of 21932940 is 4923912.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21932898 and 21932907.

It is not an unprimeable number, because it can be changed into a prime (21932947) by changing a digit.

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, 9324 + ... + 11436.

It is an arithmetic number, because the mean of its divisors is an integer number (1287426).

Almost surely, 221932940 is an apocalyptic number.

21932940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21932940 is an abundant number, since it is smaller than the sum of its proper divisors (39863508).

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

21932940 is a wasteful number, since it uses less digits than its factorization.

21932940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 21932940 is about 4683.2616839122. The cubic root of 21932940 is about 279.9189391199.

Subtracting from 21932940 its reverse (4923912), we obtain a triangular number (17009028 = T5832).

The spelling of 21932940 in words is "twenty-one million, nine hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2113 2595 3460 4226 5190 6339 8452 10380 10565 12678 21130 25356 31695 42260 63390 126780 365549 731098 1096647 1462196 1827745 2193294 3655490 4386588 5483235 7310980 10966470 21932940