Search a number
-
+
21035640 = 2335307571
BaseRepresentation
bin101000000111…
…1101001111000
31110120201110210
41100033221320
520341120030
62030511120
7343541253
oct120175170
943521423
1021035640
111096842a
1270654a0
134486932
142b1809a
151ca7bb0
hex140fa78

21035640 has 64 divisors (see below), whose sum is σ = 63423360. Its totient is φ = 5581440.

The previous prime is 21035633. The next prime is 21035687. The reversal of 21035640 is 4653012.

It is a happy number.

It is a congruent number.

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, 36555 + ... + 37125.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 221035640 is an apocalyptic number.

21035640 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 21035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711680).

21035640 is an abundant number, since it is smaller than the sum of its proper divisors (42387720).

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

21035640 is a wasteful number, since it uses less digits than its factorization.

21035640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 21035640 is about 4586.4626892628. The cubic root of 21035640 is about 276.0484057087.

Adding to 21035640 its reverse (4653012), we get a palindrome (25688652).

The spelling of 21035640 in words is "twenty-one million, thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 571 614 921 1142 1228 1535 1713 1842 2284 2456 2855 3070 3426 3684 4568 4605 5710 6140 6852 7368 8565 9210 11420 12280 13704 17130 18420 22840 34260 36840 68520 175297 350594 525891 701188 876485 1051782 1402376 1752970 2103564 2629455 3505940 4207128 5258910 7011880 10517820 21035640