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2632104420 = 2235116835839
BaseRepresentation
bin1001110011100010…
…1011100111100100
320210102202202110220
42130320223213210
520342304320140
61113103044340
7122140342551
oct23470534744
96712682426
102632104420
111130833010
126155a06b0
1332c403a4a
141ad7dba28
15106122bd0
hex9ce2b9e4

2632104420 has 96 divisors (see below), whose sum is σ = 8053032960. Its totient is φ = 637042560.

The previous prime is 2632104413. The next prime is 2632104421. The reversal of 2632104420 is 244012362.

It is not an unprimeable number, because it can be changed into a prime (2632104421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447861 + ... + 453699.

It is an arithmetic number, because the mean of its divisors is an integer number (83885760).

Almost surely, 22632104420 is an apocalyptic number.

2632104420 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 2632104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026516480).

2632104420 is an abundant number, since it is smaller than the sum of its proper divisors (5420928540).

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

2632104420 is a wasteful number, since it uses less digits than its factorization.

2632104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6543 counting only the distinct ones).

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

The square root of 2632104420 is about 51304.0390222836. The cubic root of 2632104420 is about 1380.7054469222.

Adding to 2632104420 its reverse (244012362), we get a palindrome (2876116782).

The spelling of 2632104420 in words is "two billion, six hundred thirty-two million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 683 1366 2049 2732 3415 4098 5839 6830 7513 8196 10245 11678 13660 15026 17517 20490 22539 23356 29195 30052 35034 37565 40980 45078 58390 64229 70068 75130 87585 90156 112695 116780 128458 150260 175170 192687 225390 256916 321145 350340 385374 450780 642290 770748 963435 1284580 1926870 3853740 3988037 7976074 11964111 15952148 19940185 23928222 39880370 43868407 47856444 59820555 79760740 87736814 119641110 131605221 175473628 219342035 239282220 263210442 438684070 526420884 658026105 877368140 1316052210 2632104420