Search a number
-
+
2040133032 = 2332721493881
BaseRepresentation
bin111100110011001…
…1111010110101000
312021011212111101200
41321212133112220
513134233224112
6534235044200
7101361562500
oct17146372650
95234774350
102040133032
11957669163
1248b2a0660
13266889612
14154d44a00
15be18dcdc
hex7999f5a8

2040133032 has 144 divisors (see below), whose sum is σ = 6472264500. Its totient is φ = 578833920.

The previous prime is 2040133031. The next prime is 2040133129. The reversal of 2040133032 is 2303310402.

It can be written as a sum of positive squares in 2 ways, for example, as 1993265316 + 46867716 = 44646^2 + 6846^2 .

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 = 2040132996 and 2040133014.

It is not an unprimeable number, because it can be changed into a prime (2040133031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523732 + ... + 527612.

Almost surely, 22040133032 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 2040133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236132250).

2040133032 is an abundant number, since it is smaller than the sum of its proper divisors (4432131468).

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

2040133032 is a wasteful number, since it uses less digits than its factorization.

2040133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2040133032 is about 45167.8318275296. The cubic root of 2040133032 is about 1268.2927090804.

Adding to 2040133032 its reverse (2303310402), we get a palindrome (4343443434).

The spelling of 2040133032 in words is "two billion, forty million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 149 168 196 252 294 298 392 441 447 504 588 596 882 894 1043 1176 1192 1341 1764 1788 2086 2682 3129 3528 3576 3881 4172 5364 6258 7301 7762 8344 9387 10728 11643 12516 14602 15524 18774 21903 23286 25032 27167 29204 31048 34929 37548 43806 46572 54334 58408 65709 69858 75096 81501 87612 93144 108668 131418 139716 163002 175224 190169 217336 244503 262836 279432 326004 380338 489006 525672 570507 578269 652008 760676 978012 1141014 1156538 1521352 1711521 1734807 1956024 2282028 2313076 3423042 3469614 4047883 4564056 4626152 5204421 6846084 6939228 8095766 10408842 12143649 13692168 13878456 16191532 20817684 24287298 28335181 32383064 36430947 41635368 48574596 56670362 72861894 85005543 97149192 113340724 145723788 170011086 226681448 255016629 291447576 340022172 510033258 680044344 1020066516 2040133032