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20102032320 = 263527297673
BaseRepresentation
bin10010101110001011…
…001010101111000000
31220212221112001021120
4102232023022233000
5312132110013240
613122412152240
71311101312136
oct225613125700
956787461246
1020102032320
118586089457
123a90168680
131b848804a6
14d89a85756
157c9bc2ad0
hex4ae2cabc0

20102032320 has 112 divisors (see below), whose sum is σ = 63855660960. Its totient is φ = 5357879296.

The previous prime is 20102032273. The next prime is 20102032333. The reversal of 20102032320 is 2323020102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20102032320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616004 + ... + 2623676.

It is an arithmetic number, because the mean of its divisors is an integer number (570139830).

Almost surely, 220102032320 is an apocalyptic number.

20102032320 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 20102032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31927830480).

20102032320 is an abundant number, since it is smaller than the sum of its proper divisors (43753628640).

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

20102032320 is a wasteful number, since it uses less digits than its factorization.

20102032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20102032320 its reverse (2323020102), we get a palindrome (22425052422).

The spelling of 20102032320 in words is "twenty billion, one hundred two million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2729 5458 7673 8187 10916 13645 15346 16374 21832 23019 27290 30692 32748 38365 40935 43664 46038 54580 61384 65496 76730 81870 87328 92076 109160 115095 122768 130992 153460 163740 174656 184152 218320 230190 245536 261984 306920 327480 368304 436640 460380 491072 523968 613840 654960 736608 873280 920760 1227680 1309920 1473216 1841520 2455360 2619840 3683040 7366080 20939617 41879234 62818851 83758468 104698085 125637702 167516936 209396170 251275404 314094255 335033872 418792340 502550808 628188510 670067744 837584680 1005101616 1256377020 1340135488 1675169360 2010203232 2512754040 3350338720 4020406464 5025508080 6700677440 10051016160 20102032320