Search a number
-
+
2021314032 = 243259323671
BaseRepresentation
bin111100001111010…
…1100110111110000
312012212110101120200
41320132230313300
513114424022112
6532323435200
7101042612553
oct17036546760
95185411520
102021314032
11947a85171
12484b25b00
132629ca90a
1415264669a
15bc6c2cdc
hex787acdf0

2021314032 has 60 divisors (see below), whose sum is σ = 5666650704. Its totient is φ = 672606720.

The previous prime is 2021314021. The next prime is 2021314039. The reversal of 2021314032 is 2304131202.

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 = 2021313996 and 2021314014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021314039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73557 + ... + 97227.

Almost surely, 22021314032 is an apocalyptic number.

It is an amenable number.

2021314032 is an abundant number, since it is smaller than the sum of its proper divisors (3645336672).

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

2021314032 is a wasteful number, since it uses less digits than its factorization.

2021314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24278 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2021314032 is about 44959.0261460366. The cubic root of 2021314032 is about 1264.3809105430.

Adding to 2021314032 its reverse (2304131202), we get a palindrome (4325445234).

The spelling of 2021314032 in words is "two billion, twenty-one million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 593 1186 1779 2372 3558 4744 5337 7116 9488 10674 14232 21348 23671 28464 42696 47342 71013 85392 94684 142026 189368 213039 284052 378736 426078 568104 852156 1136208 1704312 3408624 14036903 28073806 42110709 56147612 84221418 112295224 126332127 168442836 224590448 252664254 336885672 505328508 673771344 1010657016 2021314032