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214107540 = 22357348883
BaseRepresentation
bin11001100001100…
…00010110010100
3112220212210022220
430300300112110
5414302420130
633125022340
75206612143
oct1460602624
9486783286
10214107540
11aa949189
125b8549b0
133548666a
142061575a
1513be4410
hexcc30594

214107540 has 48 divisors (see below), whose sum is σ = 607725888. Its totient is φ = 56312064.

The previous prime is 214107539. The next prime is 214107563. The reversal of 214107540 is 45701412.

It is a self number, because there is not a number n which added to its sum of digits gives 214107540.

It is a congruent number.

It is an unprimeable number.

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, 20062 + ... + 28821.

It is an arithmetic number, because the mean of its divisors is an integer number (12660956).

Almost surely, 2214107540 is an apocalyptic number.

214107540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214107540 is an abundant number, since it is smaller than the sum of its proper divisors (393618348).

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

214107540 is a wasteful number, since it uses less digits than its factorization.

214107540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48968 (or 48966 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 214107540 is about 14632.4140181995. The cubic root of 214107540 is about 598.2425797045.

Adding to 214107540 its reverse (45701412), we get a palindrome (259808952).

The spelling of 214107540 in words is "two hundred fourteen million, one hundred seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 48883 97766 146649 195532 244415 293298 488830 586596 733245 977660 1466490 2932980 3568459 7136918 10705377 14273836 17842295 21410754 35684590 42821508 53526885 71369180 107053770 214107540