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19826420 = 2251758313
BaseRepresentation
bin100101110100…
…0011011110100
31101022021201212
41023220123310
520033421140
61544540552
7330343655
oct113503364
941267655
1019826420
1110211979
126781758
134152413
1428c152c
151b19765
hex12e86f4

19826420 has 24 divisors (see below), whose sum is σ = 44085384. Its totient is φ = 7463936.

The previous prime is 19826381. The next prime is 19826423. The reversal of 19826420 is 2462891.

It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 13853284 = 2444^2 + 3722^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19826423) by changing a digit.

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, 28817 + ... + 29496.

It is an arithmetic number, because the mean of its divisors is an integer number (1836891).

Almost surely, 219826420 is an apocalyptic number.

19826420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19826420 is an abundant number, since it is smaller than the sum of its proper divisors (24258964).

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

19826420 is a wasteful number, since it uses less digits than its factorization.

19826420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58339 (or 58337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 19826420 is about 4452.6868293200. The cubic root of 19826420 is about 270.6541978073.

The spelling of 19826420 in words is "nineteen million, eight hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 58313 116626 233252 291565 583130 991321 1166260 1982642 3965284 4956605 9913210 19826420