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19838136 = 2334347409
BaseRepresentation
bin100101110101…
…1010010111000
31101022212210210
41023223102320
520034310021
61545111120
7330423063
oct113532270
941285723
1019838136
111021a75a
1267884a0
134157856
1428c58da
151b1ce76
hex12eb4b8

19838136 has 64 divisors (see below), whose sum is σ = 51955200. Its totient is φ = 6306048.

The previous prime is 19838129. The next prime is 19838141. The reversal of 19838136 is 63183891.

It is a junction number, because it is equal to n+sod(n) for n = 19838094 and 19838103.

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 15 ways as a sum of consecutive naturals, for example, 48300 + ... + 48708.

It is an arithmetic number, because the mean of its divisors is an integer number (811800).

Almost surely, 219838136 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 19838136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25977600).

19838136 is an abundant number, since it is smaller than the sum of its proper divisors (32117064).

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

19838136 is a wasteful number, since it uses less digits than its factorization.

19838136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 19838136 is about 4454.0022451723. The cubic root of 19838136 is about 270.7074997512.

The spelling of 19838136 in words is "nineteen million, eight hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 188 258 282 344 376 409 516 564 818 1032 1128 1227 1636 2021 2454 3272 4042 4908 6063 8084 9816 12126 16168 17587 19223 24252 35174 38446 48504 52761 57669 70348 76892 105522 115338 140696 153784 211044 230676 422088 461352 826589 1653178 2479767 3306356 4959534 6612712 9919068 19838136