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1133152240 = 245116719219
BaseRepresentation
bin100001110001010…
…1000011111110000
32220222020002122111
41003202220133300
54310041332430
6304235215104
740036430563
oct10342503760
92828202574
101133152240
115316a9060
122775a7494
131509ba6ac
14aa6cc4da
1569733c2a
hex438a87f0

1133152240 has 80 divisors (see below), whose sum is σ = 2917134720. Its totient is φ = 405884160.

The previous prime is 1133152231. The next prime is 1133152253. The reversal of 1133152240 is 422513311.

It is a happy number.

1133152240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49351 + ... + 68569.

It is an arithmetic number, because the mean of its divisors is an integer number (36464184).

Almost surely, 21133152240 is an apocalyptic number.

1133152240 is a gapful number since it is divisible by the number (10) 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 1133152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458567360).

1133152240 is an abundant number, since it is smaller than the sum of its proper divisors (1783982480).

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

1133152240 is a wasteful number, since it uses less digits than its factorization.

1133152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19310 (or 19304 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1133152240 is about 33662.3267169695. The cubic root of 1133152240 is about 1042.5480665709.

Adding to 1133152240 its reverse (422513311), we get a palindrome (1555665551).

The spelling of 1133152240 in words is "one billion, one hundred thirty-three million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 5360 5896 7370 11792 14740 19219 29480 38438 58960 76876 96095 153752 192190 211409 307504 384380 422818 768760 845636 1057045 1287673 1537520 1691272 2114090 2575346 3382544 4228180 5150692 6438365 8456360 10301384 12876730 14164403 16912720 20602768 25753460 28328806 51506920 56657612 70822015 103013840 113315224 141644030 226630448 283288060 566576120 1133152240