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1116642000 = 24353186107
BaseRepresentation
bin100001010001110…
…1001101011010000
32212211011021212010
41002203221223100
54241330021000
6302445302520
736446205015
oct10243515320
92784137763
101116642000
11523351731
12271b64a40
1314a459816
14a843170c
1568071d50
hex428e9ad0

1116642000 has 80 divisors (see below), whose sum is σ = 3600073152. Its totient is φ = 297769600.

The previous prime is 1116641987. The next prime is 1116642029. The reversal of 1116642000 is 2466111.

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

It is a super-3 number, since 3×11166420003 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 87054 + ... + 99053.

Almost surely, 21116642000 is an apocalyptic number.

1116642000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116642000 is an abundant number, since it is smaller than the sum of its proper divisors (2483431152).

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

1116642000 is a wasteful number, since it uses less digits than its factorization.

1116642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186133 (or 186117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1116642000 is about 33416.1936791131. The cubic root of 1116642000 is about 1037.4599007098.

The spelling of 1116642000 in words is "one billion, one hundred sixteen million, six hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 186107 372214 558321 744428 930535 1116642 1488856 1861070 2233284 2791605 2977712 3722140 4466568 4652675 5583210 7444280 8933136 9305350 11166420 13958025 14888560 18610700 22332840 23263375 27916050 37221400 44665680 46526750 55832100 69790125 74442800 93053500 111664200 139580250 186107000 223328400 279160500 372214000 558321000 1116642000