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20318496 = 2531171271
BaseRepresentation
bin100110110000…
…0100100100000
31102020021201220
41031200210200
520200142441
62003255040
7334463412
oct115404440
942207656
1020318496
1110518650
12697a480
1342953a3
1429ac9b2
151bb5466
hex1360920

20318496 has 96 divisors (see below), whose sum is σ = 59222016. Its totient is φ = 6048000.

The previous prime is 20318477. The next prime is 20318521. The reversal of 20318496 is 69481302.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74841 + ... + 75111.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 220318496 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 20318496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008).

20318496 is an abundant number, since it is smaller than the sum of its proper divisors (38903520).

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

20318496 is a wasteful number, since it uses less digits than its factorization.

20318496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20318496 is about 4507.6042417231. The cubic root of 20318496 is about 272.8750652696.

Adding to 20318496 its reverse (69481302), we get a palindrome (89799798).

The spelling of 20318496 in words is "twenty million, three hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 271 284 352 426 528 542 568 781 813 852 1056 1084 1136 1562 1626 1704 2168 2272 2343 2981 3124 3252 3408 4336 4686 5962 6248 6504 6816 8672 8943 9372 11924 12496 13008 17886 18744 19241 23848 24992 26016 35772 37488 38482 47696 57723 71544 74976 76964 95392 115446 143088 153928 211651 230892 286176 307856 423302 461784 615712 634953 846604 923568 1269906 1693208 1847136 2539812 3386416 5079624 6772832 10159248 20318496