Search a number
-
+
20320092 = 22331341353
BaseRepresentation
bin100110110000…
…0111101011100
31102020100221000
41031200331130
520200220332
62003310300
7334501152
oct115407534
942210830
1020320092
1110519871
12697b390
134296030
1429ad3d2
151bb5b7c
hex1360f5c

20320092 has 96 divisors (see below), whose sum is σ = 58282560. Its totient is φ = 6082560.

The previous prime is 20320073. The next prime is 20320103. The reversal of 20320092 is 29002302.

It is a super-2 number, since 2×203200922 = 825812277776928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57388 + ... + 57740.

It is an arithmetic number, because the mean of its divisors is an integer number (607110).

Almost surely, 220320092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29141280).

20320092 is an abundant number, since it is smaller than the sum of its proper divisors (37962468).

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

20320092 is a wasteful number, since it uses less digits than its factorization.

20320092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20320092 is about 4507.7812724222. The cubic root of 20320092 is about 272.8822097814.

Adding to 20320092 its reverse (29002302), we get a palindrome (49322394).

The spelling of 20320092 in words is "twenty million, three hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 353 369 468 492 533 702 706 738 1059 1066 1107 1404 1412 1476 1599 2118 2132 2214 3177 3198 4236 4428 4589 4797 6354 6396 9178 9531 9594 12708 13767 14391 14473 18356 19062 19188 27534 28782 28946 38124 41301 43419 55068 57564 57892 82602 86838 123903 130257 165204 173676 188149 247806 260514 376298 390771 495612 521028 564447 752596 781542 1128894 1563084 1693341 2257788 3386682 5080023 6773364 10160046 20320092