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20316528 = 2433131359
BaseRepresentation
bin100110110000…
…0000101110000
31102020012001000
41031200011300
520200112103
62003242000
7334454601
oct115400560
942205030
1020316528
1110517121
126979300
13429451b
1429abda8
151bb4aa3
hex1360170

20316528 has 80 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 6701760.

The previous prime is 20316523. The next prime is 20316539. The reversal of 20316528 is 82561302.

20316528 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 652 + 8 = 666.

It is a super-2 number, since 2×203165282 = 825522619949568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20316523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56413 + ... + 56771.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 220316528 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 20316528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

20316528 is an abundant number, since it is smaller than the sum of its proper divisors (38608272).

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

20316528 is a wasteful number, since it uses less digits than its factorization.

20316528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20316528 is about 4507.3859386567. The cubic root of 20316528 is about 272.8662549806.

The spelling of 20316528 in words is "twenty million, three hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 359 393 432 524 718 786 1048 1077 1179 1436 1572 2096 2154 2358 2872 3144 3231 3537 4308 4716 5744 6288 6462 7074 8616 9432 9693 12924 14148 17232 18864 19386 25848 28296 38772 47029 51696 56592 77544 94058 141087 155088 188116 282174 376232 423261 564348 752464 846522 1128696 1269783 1693044 2257392 2539566 3386088 5079132 6772176 10158264 20316528