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27434420 = 22513105517
BaseRepresentation
bin110100010100…
…1110110110100
31220121210221122
41220221312310
524010400140
62420003112
7452121506
oct150516664
956553848
1027434420
1114538982
129230498
1358b72b0
143901d76
15261dab5
hex1a29db4

27434420 has 24 divisors (see below), whose sum is σ = 62044584. Its totient is φ = 10129536.

The previous prime is 27434419. The next prime is 27434507. The reversal of 27434420 is 2443472.

It can be written as a sum of positive squares in 4 ways, for example, as 850084 + 26584336 = 922^2 + 5156^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 27434420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52499 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (2585191).

Almost surely, 227434420 is an apocalyptic number.

27434420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27434420 is an abundant number, since it is smaller than the sum of its proper divisors (34610164).

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

27434420 is a wasteful number, since it uses less digits than its factorization.

27434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105539 (or 105537 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 27434420 is about 5237.7877009287. The cubic root of 27434420 is about 301.6004100729.

Adding to 27434420 its reverse (2443472), we get a palindrome (29877892).

The spelling of 27434420 in words is "twenty-seven million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 105517 211034 422068 527585 1055170 1371721 2110340 2743442 5486884 6858605 13717210 27434420