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21342140 = 22517411531
BaseRepresentation
bin101000101101…
…0011110111100
31111011021220122
41101122132330
520430422030
62041234112
7346255661
oct121323674
944137818
1021342140
1111057736
127192938
1345632b1
142b97a68
151d188e5
hex145a7bc

21342140 has 48 divisors (see below), whose sum is σ = 48644064. Its totient is φ = 7833600.

The previous prime is 21342119. The next prime is 21342143. The reversal of 21342140 is 4124312.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342143) 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, 13175 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (1013418).

Almost surely, 221342140 is an apocalyptic number.

21342140 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 21342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24322032).

21342140 is an abundant number, since it is smaller than the sum of its proper divisors (27301924).

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

21342140 is a wasteful number, since it uses less digits than its factorization.

21342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 21342140 is about 4619.7554047806. The cubic root of 21342140 is about 277.3826682501.

Adding to 21342140 its reverse (4124312), we get a palindrome (25466452).

The spelling of 21342140 in words is "twenty-one million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 1531 2788 3062 3485 6124 6970 7655 13940 15310 26027 30620 52054 62771 104108 125542 130135 251084 260270 313855 520540 627710 1067107 1255420 2134214 4268428 5335535 10671070 21342140