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19834056 = 23321179317
BaseRepresentation
bin100101110101…
…0010011001000
31101022200012200
41023222103020
520034142211
61545040200
7330405144
oct113522310
941280180
1019834056
1110217690
126786060
134155a38
1428c4224
151b1bb56
hex12ea4c8

19834056 has 96 divisors (see below), whose sum is σ = 59529600. Its totient is φ = 5915520.

The previous prime is 19834039. The next prime is 19834091. The reversal of 19834056 is 65043891.

It is a super-2 number, since 2×198340562 = 786779554822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19834056.

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 23 ways as a sum of consecutive naturals, for example, 62410 + ... + 62726.

It is an arithmetic number, because the mean of its divisors is an integer number (620100).

Almost surely, 219834056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19834056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29764800).

19834056 is an abundant number, since it is smaller than the sum of its proper divisors (39695544).

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

19834056 is a wasteful number, since it uses less digits than its factorization.

19834056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 19834056 is about 4453.5442065842. The cubic root of 19834056 is about 270.6889401727.

The spelling of 19834056 in words is "nineteen million, eight hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 79 88 99 132 158 198 237 264 316 317 396 474 632 634 711 792 869 948 951 1268 1422 1738 1896 1902 2536 2607 2844 2853 3476 3487 3804 5214 5688 5706 6952 6974 7608 7821 10428 10461 11412 13948 15642 20856 20922 22824 25043 27896 31284 31383 41844 50086 62568 62766 75129 83688 100172 125532 150258 200344 225387 251064 275473 300516 450774 550946 601032 826419 901548 1101892 1652838 1803096 2203784 2479257 3305676 4958514 6611352 9917028 19834056