Search a number
-
+
20316408 = 2337314783
BaseRepresentation
bin100110110000…
…0000011111000
31102020011212120
41031200003320
520200111113
62003241240
7334454340
oct115400370
942204776
1020316408
1110517022
126979220
134294458
1429abd20
151bb4a23
hex13600f8

20316408 has 128 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 5431680.

The previous prime is 20316391. The next prime is 20316409. The reversal of 20316408 is 80461302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20316409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244735 + ... + 244817.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 220316408 is an apocalyptic number.

20316408 is a gapful number since it is divisible by the number (28) 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 20316408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

20316408 is an abundant number, since it is smaller than the sum of its proper divisors (41615112).

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

20316408 is a wasteful number, since it uses less digits than its factorization.

20316408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20316408 is about 4507.3726271521. The cubic root of 20316408 is about 272.8657177494.

The spelling of 20316408 in words is "twenty million, three hundred sixteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 47 56 62 83 84 93 94 124 141 166 168 186 188 217 248 249 282 329 332 372 376 434 498 564 581 651 658 664 744 868 987 996 1128 1162 1302 1316 1457 1736 1743 1974 1992 2324 2573 2604 2632 2914 3486 3901 3948 4371 4648 5146 5208 5828 6972 7719 7802 7896 8742 10199 10292 11656 11703 13944 15438 15604 17484 18011 20398 20584 23406 27307 30597 30876 31208 34968 36022 40796 46812 54033 54614 61194 61752 72044 81592 81921 93624 108066 109228 120931 122388 144088 163842 216132 218456 241862 244776 327684 362793 432264 483724 655368 725586 846517 967448 1451172 1693034 2539551 2902344 3386068 5079102 6772136 10158204 20316408