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21200140 = 22513671217
BaseRepresentation
bin101000011011…
…1110100001100
31110220002010101
41100313310030
520411401030
62034220444
7345124663
oct120676414
943802111
1021200140
1110a6aa85
127124724
134513780
142b5bdda
151cdb7ca
hex1437d0c

21200140 has 48 divisors (see below), whose sum is σ = 48700512. Its totient is φ = 7704576.

The previous prime is 21200129. The next prime is 21200147. The reversal of 21200140 is 4100212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21200147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16812 + ... + 18028.

It is an arithmetic number, because the mean of its divisors is an integer number (1014594).

Almost surely, 221200140 is an apocalyptic number.

21200140 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 21200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24350256).

21200140 is an abundant number, since it is smaller than the sum of its proper divisors (27500372).

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

21200140 is a wasteful number, since it uses less digits than its factorization.

21200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 21200140 is about 4604.3609762919. The cubic root of 21200140 is about 276.7661099598.

Adding to 21200140 its reverse (4100212), we get a palindrome (25300352).

The spelling of 21200140 in words is "twenty-one million, two hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1217 1340 1742 2434 3484 4355 4868 6085 8710 12170 15821 17420 24340 31642 63284 79105 81539 158210 163078 316420 326156 407695 815390 1060007 1630780 2120014 4240028 5300035 10600070 21200140