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2020840680 = 2335173311313
BaseRepresentation
bin111100001110011…
…1001010011101000
312012211120100021010
41320130321103220
513114313400210
6532305343520
7101035601535
oct17034712350
95184510233
102020840680
11947791571
12484937ba0
13262893321
14152561d8c
15bc62c920
hex787394e8

2020840680 has 128 divisors (see below), whose sum is σ = 6136715520. Its totient is φ = 532346880.

The previous prime is 2020840649. The next prime is 2020840681. The reversal of 2020840680 is 860480202.

It is a happy number.

2020840680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2020840681) 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, 6456204 + ... + 6456516.

It is an arithmetic number, because the mean of its divisors is an integer number (47943090).

Almost surely, 22020840680 is an apocalyptic number.

2020840680 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 2020840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068357760).

2020840680 is an abundant number, since it is smaller than the sum of its proper divisors (4115874840).

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

2020840680 is a wasteful number, since it uses less digits than its factorization.

2020840680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2020840680 is about 44953.7615778702. The cubic root of 2020840680 is about 1264.2822051220.

The spelling of 2020840680 in words is "two billion, twenty million, eight hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 311 313 346 519 622 626 692 865 933 939 1038 1244 1252 1384 1555 1565 1730 1866 1878 2076 2488 2504 2595 3110 3130 3460 3732 3756 4152 4665 4695 5190 6220 6260 6920 7464 7512 9330 9390 10380 12440 12520 18660 18780 20760 37320 37560 53803 54149 97343 107606 108298 161409 162447 194686 215212 216596 269015 270745 292029 322818 324894 389372 430424 433192 486715 538030 541490 584058 645636 649788 778744 807045 812235 973430 1076060 1082980 1168116 1291272 1299576 1460145 1614090 1624470 1946860 2152120 2165960 2336232 2920290 3228180 3248940 3893720 5840580 6456360 6497880 11681160 16840339 33680678 50521017 67361356 84201695 101042034 134722712 168403390 202084068 252605085 336806780 404168136 505210170 673613560 1010420340 2020840680