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20312006760 = 2332567212569
BaseRepresentation
bin10010111010101100…
…001010000001101000
31221102120121212001200
4102322230022001220
5313044333204020
613155312444200
71316231131413
oct227254120150
957376555050
1020312006760
118683664351
123b2a549660
131bb921a816
14da9902b7a
157dd34c590
hex4bab0a068

20312006760 has 144 divisors (see below), whose sum is σ = 67019343300. Its totient is φ = 5335266816.

The previous prime is 20312006749. The next prime is 20312006801. The reversal of 20312006760 is 6760021302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18791474724 + 1520532036 = 137082^2 + 38994^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1609756 + ... + 1622324.

Almost surely, 220312006760 is an apocalyptic number.

20312006760 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 20312006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33509671650).

20312006760 is an abundant number, since it is smaller than the sum of its proper divisors (46707336540).

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

20312006760 is a wasteful number, since it uses less digits than its factorization.

20312006760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12720 (or 12646 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 20312006760 in words is "twenty billion, three hundred twelve million, six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4489 4824 6030 8040 8978 12060 12569 13467 17956 22445 24120 25138 26934 35912 37707 40401 44890 50276 53868 62845 67335 75414 80802 89780 100552 107736 113121 125690 134670 150828 161604 179560 188535 202005 226242 251380 269340 301656 323208 377070 404010 452484 502760 538680 565605 754140 808020 842123 904968 1131210 1508280 1616040 1684246 2262420 2526369 3368492 4210615 4524840 5052738 6736984 7579107 8421230 10105476 12631845 15158214 16842460 20210952 25263690 30316428 33684920 37895535 50527380 56422241 60632856 75791070 101054760 112844482 151582140 169266723 225688964 282111205 303164280 338533446 451377928 507800169 564222410 677066892 846333615 1015600338 1128444820 1354133784 1692667230 2031200676 2256889640 2539000845 3385334460 4062401352 5078001690 6770668920 10156003380 20312006760