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2632041420 = 223561799103
BaseRepresentation
bin1001110011100001…
…1100001111001100
320210102122120001120
42130320130033030
520342300311140
61113101440540
7122136661101
oct23470341714
96712576046
102632041420
11113079a748
12615570150
1332c3b1178
141ad7c2aa8
1510610e1d0
hex9ce1c3cc

2632041420 has 96 divisors (see below), whose sum is σ = 7586181120. Its totient is φ = 681557760.

The previous prime is 2632041413. The next prime is 2632041449. The reversal of 2632041420 is 241402362.

2632041420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 284589 + ... + 293691.

It is an arithmetic number, because the mean of its divisors is an integer number (79022720).

Almost surely, 22632041420 is an apocalyptic number.

2632041420 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 2632041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793090560).

2632041420 is an abundant number, since it is smaller than the sum of its proper divisors (4954139700).

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

2632041420 is a wasteful number, since it uses less digits than its factorization.

2632041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9255 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2632041420 is about 51303.4250318631. The cubic root of 2632041420 is about 1380.6944310044.

Adding to 2632041420 its reverse (241402362), we get a palindrome (2873443782).

The spelling of 2632041420 in words is "two billion, six hundred thirty-two million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 79 122 158 183 237 244 305 316 366 395 474 610 732 790 915 948 1185 1220 1580 1830 2370 3660 4740 4819 9103 9638 14457 18206 19276 24095 27309 28914 36412 45515 48190 54618 57828 72285 91030 96380 109236 136545 144570 182060 273090 289140 546180 555283 719137 1110566 1438274 1665849 2157411 2221132 2776415 2876548 3331698 3595685 4314822 5552830 6663396 7191370 8329245 8629644 10787055 11105660 14382740 16658490 21574110 33316980 43148220 43867357 87734714 131602071 175469428 219336785 263204142 438673570 526408284 658010355 877347140 1316020710 2632041420