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20500506 = 23313192953
BaseRepresentation
bin100111000110…
…1000000011010
31102120112102000
41032031000122
520222004011
62011221430
7336152145
oct116150032
942515360
1020500506
1110632374
126a47876
13432a1a0
142a1905c
151bee356
hex138d01a

20500506 has 128 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 5660928.

The previous prime is 20500483. The next prime is 20500511. The reversal of 20500506 is 60500502.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386776 + ... + 386828.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 220500506 is an apocalyptic number.

20500506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20500506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

20500506 is an abundant number, since it is smaller than the sum of its proper divisors (33931494).

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

20500506 is a wasteful number, since it uses less digits than its factorization.

20500506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20500506 is about 4527.7484470761. The cubic root of 20500506 is about 273.6874355052.

The spelling of 20500506 in words is "twenty million, five hundred thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 27 29 38 39 53 54 57 58 78 87 106 114 117 159 171 174 234 247 261 318 342 351 377 477 494 513 522 551 689 702 741 754 783 954 1007 1026 1102 1131 1378 1431 1482 1537 1566 1653 2014 2067 2223 2262 2862 3021 3074 3306 3393 4134 4446 4611 4959 6042 6201 6669 6786 7163 9063 9222 9918 10179 12402 13091 13338 13833 14326 14877 18126 18603 19981 20358 21489 26182 27189 27666 29203 29754 37206 39273 39962 41499 42978 54378 58406 59943 64467 78546 82998 87609 117819 119886 128934 175218 179829 193401 235638 262827 353457 359658 379639 386802 525654 539487 706914 759278 788481 1078974 1138917 1576962 2277834 3416751 6833502 10250253 20500506