Search a number
-
+
21035240 = 2353761233
BaseRepresentation
bin101000000111…
…1100011101000
31110120200220222
41100033203220
520341111430
62030505212
7343540142
oct120174350
943520828
1021035240
11109680a6
127065208
1344866b5
142b17c92
151ca79e5
hex140f8e8

21035240 has 64 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 8017920.

The previous prime is 21035233. The next prime is 21035249. The reversal of 21035240 is 4253012.

It can be written as a sum of positive squares in 8 ways, for example, as 4502884 + 16532356 = 2122^2 + 4066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21035249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90164 + ... + 90396.

Almost surely, 221035240 is an apocalyptic number.

21035240 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 21035240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

21035240 is an abundant number, since it is smaller than the sum of its proper divisors (28582120).

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

21035240 is a wasteful number, since it uses less digits than its factorization.

21035240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 21035240 is about 4586.4190824651. The cubic root of 21035240 is about 276.0466559788.

Adding to 21035240 its reverse (4253012), we get a palindrome (25288252).

The spelling of 21035240 in words is "twenty-one million, thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 233 244 296 305 370 466 488 610 740 932 1165 1220 1480 1864 2257 2330 2440 4514 4660 8621 9028 9320 11285 14213 17242 18056 22570 28426 34484 43105 45140 56852 68968 71065 86210 90280 113704 142130 172420 284260 344840 525881 568520 1051762 2103524 2629405 4207048 5258810 10517620 21035240