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20665005240 = 23351133147297
BaseRepresentation
bin10011001111101110…
…101111010010111000
31222100011212000221110
4103033232233102320
5314310220131430
613254322440320
71331045434455
oct231756572270
958304760843
1020665005240
118844947330
1240088030a0
131c443b3769
14100075082c
1580e3297b0
hex4cfbaf4b8

20665005240 has 128 divisors (see below), whose sum is σ = 67836683520. Its totient is φ = 4994457600.

The previous prime is 20665005233. The next prime is 20665005259. The reversal of 20665005240 is 4250056602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20665005198 and 20665005207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413272 + ... + 460568.

It is an arithmetic number, because the mean of its divisors is an integer number (529974090).

Almost surely, 220665005240 is an apocalyptic number.

20665005240 is a gapful number since it is divisible by the number (20) 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 20665005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33918341760).

20665005240 is an abundant number, since it is smaller than the sum of its proper divisors (47171678280).

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

20665005240 is a wasteful number, since it uses less digits than its factorization.

20665005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47653 (or 47649 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 20665005240 in words is "twenty billion, six hundred sixty-five million, five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 331 440 660 662 993 1320 1324 1655 1986 2648 3310 3641 3972 4965 6620 7282 7944 9930 10923 13240 14564 18205 19860 21846 29128 36410 39720 43692 47297 54615 72820 87384 94594 109230 141891 145640 189188 218460 236485 283782 378376 436920 472970 520267 567564 709455 945940 1040534 1135128 1418910 1560801 1891880 2081068 2601335 2837820 3121602 4162136 5202670 5675640 6243204 7804005 10405340 12486408 15608010 15655307 20810680 31216020 31310614 46965921 62432040 62621228 78276535 93931842 125242456 156553070 172208377 187863684 234829605 313106140 344416754 375727368 469659210 516625131 626212280 688833508 861041885 939318420 1033250262 1377667016 1722083770 1878636840 2066500524 2583125655 3444167540 4133001048 5166251310 6888335080 10332502620 20665005240