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1134768 = 24347503
BaseRepresentation
bin100010101000010110000
32010122121110
410111002300
5242303033
640153320
712434235
oct4250260
92118543
101134768
11705628
12468840
1330967b
1421778c
15176363
hex1150b0

1134768 has 40 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 369472.

The previous prime is 1134719. The next prime is 1134769. The reversal of 1134768 is 8674311.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1134769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2005 + ... + 2507.

21134768 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 1134768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1134768 is an abundant number, since it is smaller than the sum of its proper divisors (1865040).

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

1134768 is a wasteful number, since it uses less digits than its factorization.

1134768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 1134768 is about 1065.2548990735. The cubic root of 1134768 is about 104.3043353786.

The spelling of 1134768 in words is "one million, one hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 503 564 752 1006 1128 1509 2012 2256 3018 4024 6036 8048 12072 23641 24144 47282 70923 94564 141846 189128 283692 378256 567384 1134768