Search a number
-
+
19923204 = 22372311093
BaseRepresentation
bin100110000000…
…0000100000100
31101111012111110
41030000010010
520100020304
61551005020
7331226100
oct114000404
941435443
1019923204
1110278664
126809770
1341874a2
142908900
151b38289
hex1300104

19923204 has 72 divisors (see below), whose sum is σ = 55872768. Its totient is φ = 5503680.

The previous prime is 19923193. The next prime is 19923223. The reversal of 19923204 is 40232991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17682 + ... + 18774.

Almost surely, 219923204 is an apocalyptic number.

19923204 is a gapful number since it is divisible by the number (14) 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 19923204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27936384).

19923204 is an abundant number, since it is smaller than the sum of its proper divisors (35949564).

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

19923204 is a wasteful number, since it uses less digits than its factorization.

19923204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 19923204 is about 4463.5416431350. The cubic root of 19923204 is about 271.0938886658.

The spelling of 19923204 in words is "nineteen million, nine hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1093 1302 1519 2186 2604 3038 3279 4372 4557 6076 6558 7651 9114 13116 15302 18228 22953 30604 33883 45906 53557 67766 91812 101649 107114 135532 160671 203298 214228 237181 321342 406596 474362 642684 711543 948724 1423086 1660267 2846172 3320534 4980801 6641068 9961602 19923204