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1131415432 = 237311076091
BaseRepresentation
bin100001101110000…
…0000011110001000
32220211221212012021
41003130000132020
54304120243212
6304134054224
740015605160
oct10334003610
92824855167
101131415432
11530722184
12276aaa374
1315052ccb4
14aa3995a0
15694de307
hex43700788

1131415432 has 64 divisors (see below), whose sum is σ = 2526474240. Its totient is φ = 464788800.

The previous prime is 1131415427. The next prime is 1131415451. The reversal of 1131415432 is 2345141311.

It is a junction number, because it is equal to n+sod(n) for n = 1131415397 and 1131415406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182707 + ... + 188797.

It is an arithmetic number, because the mean of its divisors is an integer number (39476160).

Almost surely, 21131415432 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 1131415432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263237120).

1131415432 is an abundant number, since it is smaller than the sum of its proper divisors (1395058808).

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

1131415432 is a wasteful number, since it uses less digits than its factorization.

1131415432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6238 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 1131415432 is about 33636.5193205242. The cubic root of 1131415432 is about 1042.0151485598.

Adding to 1131415432 its reverse (2345141311), we get a palindrome (3476556743).

The spelling of 1131415432 in words is "one billion, one hundred thirty-one million, four hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 107 124 214 217 248 428 434 749 856 868 1498 1736 2996 3317 5992 6091 6634 12182 13268 23219 24364 26536 42637 46438 48728 85274 92876 170548 185752 188821 341096 377642 651737 755284 1303474 1321747 1510568 2606948 2643494 4562159 5213896 5286988 9124318 10573976 18248636 20203847 36497272 40407694 80815388 141426929 161630776 282853858 565707716 1131415432