Search a number
-
+
2002032132 = 2231741594057
BaseRepresentation
bin111011101010100…
…1001011000000100
312011112011202210020
41313111021120010
513100010012012
6530354255140
7100416664242
oct16725113004
95145152706
102002032132
11938105411
1247a5874b0
1325ba092c9
1414dc67792
15bab64a8c
hex77549604

2002032132 has 96 divisors (see below), whose sum is σ = 5153984640. Its totient is φ = 602234880.

The previous prime is 2002032119. The next prime is 2002032133. The reversal of 2002032132 is 2312302002.

It is not an unprimeable number, because it can be changed into a prime (2002032133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491448 + ... + 495504.

It is an arithmetic number, because the mean of its divisors is an integer number (53687340).

Almost surely, 22002032132 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 2002032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576992320).

2002032132 is an abundant number, since it is smaller than the sum of its proper divisors (3151952508).

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

2002032132 is a wasteful number, since it uses less digits than its factorization.

2002032132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2002032132 is about 44744.0737081460. The cubic root of 2002032132 is about 1260.3476264313.

Adding to 2002032132 its reverse (2312302002), we get a palindrome (4314334134).

The spelling of 2002032132 in words is "two billion, two million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 59 68 82 102 118 123 164 177 204 236 246 354 492 697 708 1003 1394 2006 2091 2419 2788 3009 4012 4057 4182 4838 6018 7257 8114 8364 9676 12036 12171 14514 16228 24342 29028 41123 48684 68969 82246 123369 137938 164492 166337 206907 239363 246738 275876 332674 413814 478726 493476 499011 665348 718089 827628 957452 998022 1436178 1996044 2827729 2872356 4069171 5655458 8138342 8483187 9813883 11310916 12207513 16276684 16966374 19627766 24415026 29441649 33932748 39255532 48830052 58883298 117766596 166836011 333672022 500508033 667344044 1001016066 2002032132