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1261313232 = 2431711313679
BaseRepresentation
bin100101100101110…
…0001110011010000
310020220101100110220
41023023201303100
510040344010412
6325054153040
743153662024
oct11313416320
93226340426
101261313232
11597a84333
122b24b2780
131714110ba
14bd730384
1575aec68c
hex4b2e1cd0

1261313232 has 80 divisors (see below), whose sum is σ = 3480848640. Its totient is φ = 392175616.

The previous prime is 1261313231. The next prime is 1261313237. The reversal of 1261313232 is 2323131621.

It is a super-2 number, since 2×12613132322 = 3181822138436571648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261313231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85369 + ... + 99047.

It is an arithmetic number, because the mean of its divisors is an integer number (43510608).

Almost surely, 21261313232 is an apocalyptic number.

1261313232 is a gapful number since it is divisible by the number (12) 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 1261313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740424320).

1261313232 is an abundant number, since it is smaller than the sum of its proper divisors (2219535408).

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

1261313232 is a wasteful number, since it uses less digits than its factorization.

1261313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13814 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 1261313232 is about 35514.9719414221. The cubic root of 1261313232 is about 1080.4574057018.

Adding to 1261313232 its reverse (2323131621), we get a palindrome (3584444853).

The spelling of 1261313232 in words is "one billion, two hundred sixty-one million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 204 226 272 339 408 452 678 816 904 1356 1808 1921 2712 3842 5424 5763 7684 11526 13679 15368 23052 27358 30736 41037 46104 54716 82074 92208 109432 164148 218864 232543 328296 465086 656592 697629 930172 1395258 1545727 1860344 2790516 3091454 3720688 4637181 5581032 6182908 9274362 11162064 12365816 18548724 24731632 26277359 37097448 52554718 74194896 78832077 105109436 157664154 210218872 315328308 420437744 630656616 1261313232