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2020100920 = 235671794211
BaseRepresentation
bin111100001101000…
…0100101100111000
312012210011202111121
41320122010230320
513114121212140
6532241435024
7101026401025
oct17032045470
95183152447
102020100920
119473267a2
1248463ba74
132626946b6
1415240c54c
15bc53364a
hex78684b38

2020100920 has 64 divisors (see below), whose sum is σ = 4639939200. Its totient is φ = 791345280.

The previous prime is 2020100897. The next prime is 2020100933. The reversal of 2020100920 is 290010202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2020100894 and 2020100903.

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, 477615 + ... + 481825.

It is an arithmetic number, because the mean of its divisors is an integer number (72499050).

Almost surely, 22020100920 is an apocalyptic number.

2020100920 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 2020100920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319969600).

2020100920 is an abundant number, since it is smaller than the sum of its proper divisors (2619838280).

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

2020100920 is a wasteful number, since it uses less digits than its factorization.

2020100920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2020100920 is about 44945.5328147303. The cubic root of 2020100920 is about 1264.1279162726.

The spelling of 2020100920 in words is "two billion, twenty million, one hundred thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 179 268 335 358 536 670 716 895 1340 1432 1790 2680 3580 4211 7160 8422 11993 16844 21055 23986 33688 42110 47972 59965 84220 95944 119930 168440 239860 282137 479720 564274 753769 1128548 1410685 1507538 2257096 2821370 3015076 3768845 5642740 6030152 7537690 11285480 15075380 30150760 50502523 101005046 202010092 252512615 404020184 505025230 1010050460 2020100920