Search a number
-
+
19693674 = 232711131093
BaseRepresentation
bin100101100100…
…0000001101010
31101001112122100
41023020001222
520020144144
61542034230
7326251650
oct113100152
941045570
1019693674
1110131170
126718976
134106b80
142888dd0
151ae0269
hex12c806a

19693674 has 96 divisors (see below), whose sum is σ = 57343104. Its totient is φ = 4717440.

The previous prime is 19693651. The next prime is 19693679. The reversal of 19693674 is 47639691.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19693679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17472 + ... + 18564.

It is an arithmetic number, because the mean of its divisors is an integer number (597324).

Almost surely, 219693674 is an apocalyptic number.

19693674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19693674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28671552).

19693674 is an abundant number, since it is smaller than the sum of its proper divisors (37649430).

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

19693674 is a wasteful number, since it uses less digits than its factorization.

19693674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1129 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 19693674 is about 4437.7555137704. The cubic root of 19693674 is about 270.0487977645.

The spelling of 19693674 in words is "nineteen million, six hundred ninety-three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1093 1287 1386 1638 2002 2186 2574 3003 3279 6006 6558 7651 9009 9837 12023 14209 15302 18018 19674 22953 24046 28418 36069 42627 45906 68859 72138 84161 85254 99463 108207 127881 137718 156299 168322 198926 216414 252483 255762 298389 312598 468897 504966 596778 757449 895167 937794 1094093 1406691 1514898 1790334 2188186 2813382 3282279 6564558 9846837 19693674