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20026008 = 23332329139
BaseRepresentation
bin100110001100…
…1001010011000
31101200102112000
41030121022120
520111313013
61553121000
7332134602
oct114311230
941612460
1020026008
1110338922
126859160
1341c2212
142934172
151b58973
hex1319298

20026008 has 128 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 6120576.

The previous prime is 20026007. The next prime is 20026009. The reversal of 20026008 is 80062002.

It is an interprime number because it is at equal distance from previous prime (20026007) and next prime (20026009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20026001) 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, 144003 + ... + 144141.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 220026008 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 20026008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

20026008 is an abundant number, since it is smaller than the sum of its proper divisors (40453992).

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

20026008 is a wasteful number, since it uses less digits than its factorization.

20026008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20026008 is about 4475.0427930915. The cubic root of 20026008 is about 271.5593716498.

The spelling of 20026008 in words is "twenty million, twenty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 92 108 116 138 139 174 184 207 216 232 261 276 278 348 414 417 522 552 556 621 667 696 783 828 834 1044 1112 1242 1251 1334 1566 1656 1668 2001 2088 2484 2502 2668 3132 3197 3336 3753 4002 4031 4968 5004 5336 6003 6264 6394 7506 8004 8062 9591 10008 12006 12093 12788 15012 16008 16124 18009 19182 24012 24186 25576 28773 30024 32248 36018 36279 38364 48024 48372 57546 72036 72558 76728 86319 92713 96744 108837 115092 144072 145116 172638 185426 217674 230184 278139 290232 345276 370852 435348 556278 690552 741704 834417 870696 1112556 1668834 2225112 2503251 3337668 5006502 6675336 10013004 20026008