Search a number
-
+
19693080 = 23325114973
BaseRepresentation
bin100101100011…
…1111000011000
31101001111211100
41023013320120
520020134310
61542031400
7326250141
oct113077030
941044740
1019693080
1110130780
126718560
134106814
142888ac8
151adeec0
hex12c7e18

19693080 has 96 divisors (see below), whose sum is σ = 69834960. Its totient is φ = 4773120.

The previous prime is 19693067. The next prime is 19693111. The reversal of 19693080 is 8039691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474 + ... + 6446.

Almost surely, 219693080 is an apocalyptic number.

19693080 is a gapful number since it is divisible by the number (10) 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 19693080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34917480).

19693080 is an abundant number, since it is smaller than the sum of its proper divisors (50141880).

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

19693080 is a wasteful number, since it uses less digits than its factorization.

19693080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19693080 is about 4437.6885875419. The cubic root of 19693080 is about 270.0460826693.

The spelling of 19693080 in words is "nineteen million, six hundred ninety-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 4973 9946 14919 19892 24865 29838 39784 44757 49730 54703 59676 74595 89514 99460 109406 119352 149190 164109 179028 198920 218812 223785 273515 298380 328218 358056 437624 447570 492327 547030 596760 656436 820545 895140 984654 1094060 1312872 1641090 1790280 1969308 2188120 2461635 3282180 3938616 4923270 6564360 9846540 19693080