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1131254656 = 2774726863
BaseRepresentation
bin100001101101101…
…1001001110000000
32220211122200122121
41003123121032000
54304100122111
6304130414024
740014335350
oct10333311600
92824580577
101131254656
11530622404
12276a31314
131504a4a6c
14aa356b60
15694ab871
hex436d9380

1131254656 has 64 divisors (see below), whose sum is σ = 2630522880. Its totient is φ = 474490368.

The previous prime is 1131254653. The next prime is 1131254669. The reversal of 1131254656 is 6564521311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131254651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28681 + ... + 55543.

It is an arithmetic number, because the mean of its divisors is an integer number (41101920).

Almost surely, 21131254656 is an apocalyptic number.

1131254656 is a gapful number since it is divisible by the number (16) 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 1131254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315261440).

1131254656 is an abundant number, since it is smaller than the sum of its proper divisors (1499268224).

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

1131254656 is an equidigital number, since it uses as much as digits as its factorization.

1131254656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26931 (or 26919 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 1131254656 is about 33634.1293331640. The cubic root of 1131254656 is about 1041.9657888643.

Adding to 1131254656 its reverse (6564521311), we get a palindrome (7695775967).

The spelling of 1131254656 in words is "one billion, one hundred thirty-one million, two hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 658 752 896 1316 1504 2632 3008 5264 6016 10528 21056 26863 42112 53726 107452 188041 214904 376082 429808 752164 859616 1262561 1504328 1719232 2525122 3008656 3438464 5050244 6017312 8837927 10100488 12034624 17675854 20200976 24069248 35351708 40401952 70703416 80803904 141406832 161607808 282813664 565627328 1131254656