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1131404456 = 2371311031409
BaseRepresentation
bin100001101101111…
…1101110010101000
32220211221022010202
41003123331302220
54304114420311
6304133531332
740015531160
oct10333756250
92824838122
101131404456
11530714a06
12276aa3b48
13150527cc0
14aa3955a0
15694dae3b
hex436fdca8

1131404456 has 64 divisors (see below), whose sum is σ = 2615155200. Its totient is φ = 446865408.

The previous prime is 1131404453. The next prime is 1131404479. The reversal of 1131404456 is 6544041311.

It is not an unprimeable number, because it can be changed into a prime (1131404453) 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 15 ways as a sum of consecutive naturals, for example, 802280 + ... + 803688.

It is an arithmetic number, because the mean of its divisors is an integer number (40861800).

Almost surely, 21131404456 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 1131404456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307577600).

1131404456 is an abundant number, since it is smaller than the sum of its proper divisors (1483750744).

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

1131404456 is a wasteful number, since it uses less digits than its factorization.

1131404456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1131404456 is about 33636.3561641269. The cubic root of 1131404456 is about 1042.0117789766.

Adding to 1131404456 its reverse (6544041311), we get a palindrome (7675445767).

The spelling of 1131404456 in words is "one billion, one hundred thirty-one million, four hundred four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1103 1409 2206 2818 4412 5636 7721 8824 9863 11272 14339 15442 18317 19726 28678 30884 36634 39452 57356 61768 73268 78904 100373 114712 128219 146536 200746 256438 401492 512876 802984 1025752 1554127 3108254 6216508 10878889 12433016 20203651 21757778 40407302 43515556 80814604 87031112 141425557 161629208 282851114 565702228 1131404456