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2021424132 = 2237132417681
BaseRepresentation
bin111100001111100…
…0111110000000100
312012212122222121110
41320133013300010
513114441033012
6532330045020
7101043551550
oct17037076004
95185588543
102021424132
1194804a962
12484b79770
13262a38a70
14152674860
15bc6e573c
hex787c7c04

2021424132 has 96 divisors (see below), whose sum is σ = 5829961984. Its totient is φ = 530841600.

The previous prime is 2021424127. The next prime is 2021424157. The reversal of 2021424132 is 2314241202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2021424099 and 2021424108.

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, 259332 + ... + 267012.

Almost surely, 22021424132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914980992).

2021424132 is an abundant number, since it is smaller than the sum of its proper divisors (3808537852).

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

2021424132 is a wasteful number, since it uses less digits than its factorization.

2021424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2021424132 is about 44960.2505775935. The cubic root of 2021424132 is about 1264.4038668656.

Adding to 2021424132 its reverse (2314241202), we get a palindrome (4335665334).

The spelling of 2021424132 in words is "two billion, twenty-one million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 241 273 364 482 546 723 964 1092 1446 1687 2892 3133 3374 5061 6266 6748 7681 9399 10122 12532 15362 18798 20244 21931 23043 30724 37596 43862 46086 53767 65793 87724 92172 99853 107534 131586 161301 199706 215068 263172 299559 322602 399412 599118 645204 698971 1198236 1397942 1851121 2096913 2795884 3702242 4193826 5553363 7404484 8387652 11106726 12957847 22213452 24064573 25915694 38873541 48129146 51831388 72193719 77747082 96258292 144387438 155494164 168452011 288774876 336904022 505356033 673808044 1010712066 2021424132