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1121656140 = 2233511188831
BaseRepresentation
bin100001011011011…
…0001110101001100
32220011121000222000
41002312301311030
54244120444030
6303144552300
736536630343
oct10266616514
92804530860
101121656140
11526166950
12273782690
1314b4c3b77
14a8d78b5a
1568712860
hex42db1d4c

1121656140 has 96 divisors (see below), whose sum is σ = 3806853120. Its totient is φ = 271915200.

The previous prime is 1121656117. The next prime is 1121656153. The reversal of 1121656140 is 416561211.

1121656140 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 656 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×11216561402 = 2516224992799399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88476 + ... + 100355.

It is an arithmetic number, because the mean of its divisors is an integer number (39654720).

Almost surely, 21121656140 is an apocalyptic number.

1121656140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121656140 is an abundant number, since it is smaller than the sum of its proper divisors (2685196980).

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

1121656140 is a wasteful number, since it uses less digits than its factorization.

1121656140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188860 (or 188852 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1121656140 is about 33491.1352450167. The cubic root of 1121656140 is about 1039.0104431070.

The spelling of 1121656140 in words is "one billion, one hundred twenty-one million, six hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 188831 377662 566493 755324 944155 1132986 1699479 1888310 2077141 2265972 2832465 3398958 3776620 4154282 5098437 5664930 6231423 6797916 8308564 8497395 10196874 10385705 11329860 12462846 16994790 18694269 20393748 20771410 24925692 25492185 31157115 33989580 37388538 41542820 50984370 56082807 62314230 74777076 93471345 101968740 112165614 124628460 186942690 224331228 280414035 373885380 560828070 1121656140