Search a number
-
+
2021034420 = 2232517476427
BaseRepresentation
bin111100001110110…
…1000100110110100
312012211221012000200
41320131220212310
513114341100140
6532313440500
7101040336426
oct17035504664
95184835020
102021034420
11947904089
12484a10130
13262930572
141525b2816
15bc66a030
hex787689b4

2021034420 has 72 divisors (see below), whose sum is σ = 6134934624. Its totient is φ = 538550208.

The previous prime is 2021034401. The next prime is 2021034469. The reversal of 2021034420 is 244301202.

2021034420 is a `hidden beast` number, since 2 + 0 + 210 + 34 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021034393 and 2021034402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311247 + ... + 317673.

Almost surely, 22021034420 is an apocalyptic number.

2021034420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021034420 is an abundant number, since it is smaller than the sum of its proper divisors (4113900204).

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

2021034420 is a wasteful number, since it uses less digits than its factorization.

2021034420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8189 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2021034420 is about 44955.9164070759. The cubic root of 2021034420 is about 1264.3226064938.

Adding to 2021034420 its reverse (244301202), we get a palindrome (2265335622).

The spelling of 2021034420 in words is "two billion, twenty-one million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1747 3494 5241 6427 6988 8735 10482 12854 15723 17470 19281 20964 25708 26205 31446 32135 34940 38562 52410 57843 62892 64270 77124 78615 96405 104820 115686 128540 157230 192810 231372 289215 314460 385620 578430 1156860 11227969 22455938 33683907 44911876 56139845 67367814 101051721 112279690 134735628 168419535 202103442 224559380 336839070 404206884 505258605 673678140 1010517210 2021034420