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26434920 = 2335220291
BaseRepresentation
bin110010011010…
…1110101101000
31211202000220010
41210311311220
523231404140
62342331520
7440456511
oct144656550
954660803
1026434920
1113a15a46
128a29ba0
135627385
143721a08
1524c2880
hex1935d68

26434920 has 32 divisors (see below), whose sum is σ = 79305120. Its totient is φ = 7049280.

The previous prime is 26434907. The next prime is 26434937. The reversal of 26434920 is 2943462.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 110026 + ... + 110265.

It is an arithmetic number, because the mean of its divisors is an integer number (2478285).

Almost surely, 226434920 is an apocalyptic number.

26434920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26434920 is an abundant number, since it is smaller than the sum of its proper divisors (52870200).

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

26434920 is a wasteful number, since it uses less digits than its factorization.

26434920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220305 (or 220301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 26434920 is about 5141.4900563942. The cubic root of 26434920 is about 297.8923383288.

The spelling of 26434920 in words is "twenty-six million, four hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 220291 440582 660873 881164 1101455 1321746 1762328 2202910 2643492 3304365 4405820 5286984 6608730 8811640 13217460 26434920