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2021420320 = 255231035333
BaseRepresentation
bin111100001111100…
…0110110100100000
312012212122210101021
41320133012310200
513114440422240
6532330015224
7101043534463
oct17037066440
95185583337
102021420320
11948048007
12484b77514
13262a370ca
141526732da
15bc6e454a
hex787c6d20

2021420320 has 96 divisors (see below), whose sum is σ = 5032564992. Its totient is φ = 765760512.

The previous prime is 2021420311. The next prime is 2021420399. The reversal of 2021420320 is 230241202.

It is a super-2 number, since 2×20214203202 = 8172280220217804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2021420294 and 2021420303.

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, 376374 + ... + 381706.

It is an arithmetic number, because the mean of its divisors is an integer number (52422552).

Almost surely, 22021420320 is an apocalyptic number.

2021420320 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 2021420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516282496).

2021420320 is an abundant number, since it is smaller than the sum of its proper divisors (3011144672).

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

2021420320 is a wasteful number, since it uses less digits than its factorization.

2021420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2021420320 is about 44960.2081845714. The cubic root of 2021420320 is about 1264.4030720611.

Adding to 2021420320 its reverse (230241202), we get a palindrome (2251661522).

The spelling of 2021420320 in words is "two billion, twenty-one million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 103 115 160 184 206 230 368 412 460 515 736 824 920 1030 1648 1840 2060 2369 3296 3680 4120 4738 5333 8240 9476 10666 11845 16480 18952 21332 23690 26665 37904 42664 47380 53330 75808 85328 94760 106660 122659 170656 189520 213320 245318 379040 426640 490636 549299 613295 853280 981272 1098598 1226590 1962544 2197196 2453180 2746495 3925088 4394392 4906360 5492990 8788784 9812720 10985980 12633877 17577568 19625440 21971960 25267754 43943920 50535508 63169385 87887840 101071016 126338770 202142032 252677540 404284064 505355080 1010710160 2021420320