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2021931840 = 26352391573
BaseRepresentation
bin111100010000100…
…0011101101000000
312012220121210001110
41320201003231000
513120103304330
6532345003320
7101051065005
oct17041035500
95186553043
102021931840
11948367355
12485183540
13262b85b96
141527678ac
15bc795db0
hex78843b40

2021931840 has 112 divisors (see below), whose sum is σ = 6698821248. Its totient is φ = 515733504.

The previous prime is 2021931833. The next prime is 2021931841. The reversal of 2021931840 is 481391202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2021931798 and 2021931807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021931841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23707 + ... + 67866.

It is an arithmetic number, because the mean of its divisors is an integer number (59810904).

Almost surely, 22021931840 is an apocalyptic number.

2021931840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021931840 is an abundant number, since it is smaller than the sum of its proper divisors (4676889408).

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

2021931840 is a wasteful number, since it uses less digits than its factorization.

2021931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91616 (or 91606 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2021931840 is about 44965.8964105020. The cubic root of 2021931840 is about 1264.5097153795.

The spelling of 2021931840 in words is "two billion, twenty-one million, nine hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22080 91573 183146 274719 366292 457865 549438 732584 915730 1098876 1373595 1465168 1831460 2106179 2197752 2747190 2930336 3662920 4212358 4395504 5494380 5860672 6318537 7325840 8424716 8791008 10530895 10988760 12637074 14651680 16849432 17582016 21061790 21977520 25274148 29303360 31592685 33698864 42123580 43955040 50548296 63185370 67397728 84247160 87910080 101096592 126370740 134795456 168494320 202193184 252741480 336988640 404386368 505482960 673977280 1010965920 2021931840