Search a number
-
+
19284132 = 22371012273
BaseRepresentation
bin100100110010…
…0000010100100
31100021201212010
41021210002210
514414043012
61525154220
7322624650
oct111440244
940251763
1019284132
11a9814aa
12655b970
133cc263a
1427bda60
151a5dc3c
hex12640a4

19284132 has 48 divisors (see below), whose sum is σ = 51956352. Its totient is φ = 5452800.

The previous prime is 19284131. The next prime is 19284149. The reversal of 19284132 is 23148291.

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 self number, because there is not a number n which added to its sum of digits gives 19284132.

It is not an unprimeable number, because it can be changed into a prime (19284131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7348 + ... + 9620.

It is an arithmetic number, because the mean of its divisors is an integer number (1082424).

Almost surely, 219284132 is an apocalyptic number.

19284132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19284132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25978176).

19284132 is an abundant number, since it is smaller than the sum of its proper divisors (32672220).

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

19284132 is a wasteful number, since it uses less digits than its factorization.

19284132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 19284132 is about 4391.3701734197. The cubic root of 19284132 is about 268.1637263465.

The spelling of 19284132 in words is "nineteen million, two hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2273 2828 4242 4546 6819 8484 9092 13638 15911 27276 31822 47733 63644 95466 190932 229573 459146 688719 918292 1377438 1607011 2754876 3214022 4821033 6428044 9642066 19284132