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20530608 = 243732943
BaseRepresentation
bin100111001010…
…0010110110000
31102122001200220
41032110112300
520223434413
62012013040
7336336000
oct116242660
942561626
1020530608
1110652a4a
126a61180
13433aab7
142a26000
151c08223
hex13945b0

20530608 has 160 divisors (see below), whose sum is σ = 65472000. Its totient is φ = 5531904.

The previous prime is 20530603. The next prime is 20530613. The reversal of 20530608 is 80603502.

It is an interprime number because it is at equal distance from previous prime (20530603) and next prime (20530613).

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

It is not an unprimeable number, because it can be changed into a prime (20530603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477435 + ... + 477477.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 220530608 is an apocalyptic number.

20530608 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 20530608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736000).

20530608 is an abundant number, since it is smaller than the sum of its proper divisors (44941392).

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

20530608 is a wasteful number, since it uses less digits than its factorization.

20530608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20530608 is about 4531.0713964801. The cubic root of 20530608 is about 273.8213266736.

The spelling of 20530608 in words is "twenty million, five hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 43 48 49 56 58 84 86 87 98 112 116 129 147 168 172 174 196 203 232 258 294 301 336 343 344 348 392 406 464 516 588 602 609 686 688 696 784 812 903 1029 1032 1176 1204 1218 1247 1372 1392 1421 1624 1806 2058 2064 2107 2352 2408 2436 2494 2744 2842 3248 3612 3741 4116 4214 4263 4816 4872 4988 5488 5684 6321 7224 7482 8232 8428 8526 8729 9744 9947 9976 11368 12642 14448 14749 14964 16464 16856 17052 17458 19894 19952 22736 25284 26187 29498 29841 29928 33712 34104 34916 39788 44247 50568 52374 58996 59682 59856 61103 68208 69832 79576 88494 101136 104748 117992 119364 122206 139664 159152 176988 183309 209496 235984 238728 244412 353976 366618 418992 427721 477456 488824 707952 733236 855442 977648 1283163 1466472 1710884 2566326 2932944 3421768 5132652 6843536 10265304 20530608