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1138883760 = 24335775323
BaseRepresentation
bin100001111100001…
…1111110010110000
32221101000021211000
41003320133302300
54313023240020
6305002122000
740136231550
oct10370376260
92841007730
101138883760
11534963253
122794b0300
13151c46421
14ab381160
1569eb7090
hex43e1fcb0

1138883760 has 160 divisors (see below), whose sum is σ = 4483284480. Its totient is φ = 260312832.

The previous prime is 1138883747. The next prime is 1138883761. The reversal of 1138883760 is 673888311.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1138883761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22542 + ... + 52781.

It is an arithmetic number, because the mean of its divisors is an integer number (28020528).

Almost surely, 21138883760 is an apocalyptic number.

1138883760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138883760 is an abundant number, since it is smaller than the sum of its proper divisors (3344400720).

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

1138883760 is a wasteful number, since it uses less digits than its factorization.

1138883760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75352 (or 75340 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1138883760 is about 33747.3518961118. The cubic root of 1138883760 is about 1044.3028583621.

The spelling of 1138883760 in words is "one billion, one hundred thirty-eight million, eight hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 75323 150646 225969 301292 376615 451938 527261 602584 677907 753230 903876 1054522 1129845 1205168 1355814 1506460 1581783 1807752 2033721 2109044 2259690 2636305 2711628 3012920 3163566 3389535 3615504 4067442 4218088 4519380 4745349 5272610 5423256 6025840 6327132 6779070 7908915 8134884 8436176 9038760 9490698 10168605 10545220 10846512 12654264 13558140 14236047 15817830 16269768 18077520 18981396 20337210 21090440 23726745 25308528 27116280 28472094 31635660 32539536 37962792 40674420 42180880 47453490 54232560 56944188 63271320 71180235 75925584 81348840 94906980 113888376 126542640 142360470 162697680 189813960 227776752 284720940 379627920 569441880 1138883760