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19243932 = 22317231179
BaseRepresentation
bin100100101101…
…0001110011100
31100012200201020
41021122032130
514411301212
61524244140
7322366521
oct111321634
940180636
1019243932
11a954284
126540650
133caa256
1427ad148
151a51d8c
hex125a39c

19243932 has 72 divisors (see below), whose sum is σ = 49512960. Its totient is φ = 5809920.

The previous prime is 19243921. The next prime is 19243933. The reversal of 19243932 is 23934291.

It is a junction number, because it is equal to n+sod(n) for n = 19243893 and 19243902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19243933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107419 + ... + 107597.

It is an arithmetic number, because the mean of its divisors is an integer number (687680).

Almost surely, 219243932 is an apocalyptic number.

19243932 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 19243932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756480).

19243932 is an abundant number, since it is smaller than the sum of its proper divisors (30269028).

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

19243932 is a wasteful number, since it uses less digits than its factorization.

19243932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 19243932 is about 4386.7906264147. The cubic root of 19243932 is about 267.9772572963.

It can be divided in two parts, 19 and 243932, that added together give a triangular number (243951 = T698).

The spelling of 19243932 in words is "nineteen million, two hundred forty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 179 186 204 289 358 372 527 537 578 716 867 1054 1074 1156 1581 1734 2108 2148 3043 3162 3468 5549 6086 6324 8959 9129 11098 12172 16647 17918 18258 22196 26877 33294 35836 36516 51731 53754 66588 94333 103462 107508 155193 188666 206924 282999 310386 377332 565998 620772 1131996 1603661 3207322 4810983 6414644 9621966 19243932