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2021432420 = 2257195091493
BaseRepresentation
bin111100001111100…
…1001110001100100
312012212200101222102
41320133021301210
513114441314140
6532330151232
7101043614660
oct17037116144
95185611872
102021432420
11948056107
12484b82518
13262a3c777
141526778a0
15bc6e7e15
hex787c9c64

2021432420 has 96 divisors (see below), whose sum is σ = 5120236800. Its totient is φ = 654856704.

The previous prime is 2021432377. The next prime is 2021432437. The reversal of 2021432420 is 242341202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2021432392 and 2021432401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353194 + ... + 1354686.

It is an arithmetic number, because the mean of its divisors is an integer number (53335800).

Almost surely, 22021432420 is an apocalyptic number.

2021432420 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 2021432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560118400).

2021432420 is an abundant number, since it is smaller than the sum of its proper divisors (3098804380).

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

2021432420 is a wasteful number, since it uses less digits than its factorization.

2021432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2021432420 is about 44960.3427478039. The cubic root of 2021432420 is about 1264.4055949154.

Adding to 2021432420 its reverse (242341202), we get a palindrome (2263773622).

The spelling of 2021432420 in words is "two billion, twenty-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 509 532 665 1018 1330 1493 2036 2545 2660 2986 3563 5090 5972 7126 7465 9671 10180 10451 14252 14930 17815 19342 20902 28367 29860 35630 38684 41804 48355 52255 56734 67697 71260 96710 104510 113468 135394 141835 193420 198569 209020 270788 283670 338485 397138 567340 676970 759937 794276 992845 1353940 1519874 1985690 3039748 3799685 3971380 5319559 7599370 10639118 14438803 15198740 21278236 26597795 28877606 53195590 57755212 72194015 101071621 106391180 144388030 202143242 288776060 404286484 505358105 1010716210 2021432420