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1133043240 = 233573793559
BaseRepresentation
bin100001110001000…
…1101111000101000
32220222000120010110
41003202031320220
54310024340430
6304233014320
740035465030
oct10342157050
92828016113
101133043240
1153163417a
122775543a0
1315097cbb4
14aa6a08c0
15697117b0
hex4388de28

1133043240 has 128 divisors (see below), whose sum is σ = 3896064000. Its totient is φ = 258225408.

The previous prime is 1133043229. The next prime is 1133043269. The reversal of 1133043240 is 423403311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 316581 + ... + 320139.

It is an arithmetic number, because the mean of its divisors is an integer number (30438000).

Almost surely, 21133043240 is an apocalyptic number.

1133043240 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 1133043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948032000).

1133043240 is an abundant number, since it is smaller than the sum of its proper divisors (2763020760).

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

1133043240 is a wasteful number, since it uses less digits than its factorization.

1133043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1133043240 is about 33660.7076574453. The cubic root of 1133043240 is about 1042.5146372931.

Adding to 1133043240 its reverse (423403311), we get a palindrome (1556446551).

The spelling of 1133043240 in words is "one billion, one hundred thirty-three million, forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 379 420 758 840 1137 1516 1895 2274 2653 3032 3559 3790 4548 5306 5685 7118 7580 7959 9096 10612 10677 11370 13265 14236 15160 15918 17795 21224 21354 22740 24913 26530 28472 31836 35590 39795 42708 45480 49826 53060 53385 63672 71180 74739 79590 85416 99652 106120 106770 124565 142360 149478 159180 199304 213540 249130 298956 318360 373695 427080 498260 597912 747390 996520 1348861 1494780 2697722 2989560 4046583 5395444 6744305 8093166 9442027 10790888 13488610 16186332 18884054 20232915 26977220 28326081 32372664 37768108 40465830 47210135 53954440 56652162 75536216 80931660 94420270 113304324 141630405 161863320 188840540 226608648 283260810 377681080 566521620 1133043240