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20194980 = 223513171523
BaseRepresentation
bin100110100001…
…0011010100100
31102000000022020
41031002122210
520132214410
62000503140
7333440331
oct115023244
942000266
1020194980
1110443873
12691aab0
1342510c0
142979988
151b8da70
hex13426a4

20194980 has 96 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 4675584.

The previous prime is 20194973. The next prime is 20195009. The reversal of 20194980 is 8949102.

It is a super-3 number, since 3×201949803 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12499 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 220194980 is an apocalyptic number.

20194980 is a gapful number since it is divisible by the number (20) 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 20194980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

20194980 is an abundant number, since it is smaller than the sum of its proper divisors (44325084).

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

20194980 is a wasteful number, since it uses less digits than its factorization.

20194980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 20194980 is about 4493.8825084775. The cubic root of 20194980 is about 272.3210058140.

It can be divided in two parts, 20 and 194980, that added together give a triangular number (195000 = T624).

The spelling of 20194980 in words is "twenty million, one hundred ninety-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 1523 2210 2652 3046 3315 4420 4569 6092 6630 7615 9138 13260 15230 18276 19799 22845 25891 30460 39598 45690 51782 59397 77673 79196 91380 98995 103564 118794 129455 155346 197990 237588 258910 296985 310692 336583 388365 395980 517820 593970 673166 776730 1009749 1187940 1346332 1553460 1682915 2019498 3365830 4038996 5048745 6731660 10097490 20194980