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116267040 = 25325263307
BaseRepresentation
bin1101110111000…
…01100000100000
322002202222101200
412323201200200
5214231021130
615312001200
72611152651
oct673414040
9262688350
10116267040
115a6a216a
1232b30200
131b11aa86
1411627528
15a319760
hex6ee1820

116267040 has 144 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 30786048.

The previous prime is 116267033. The next prime is 116267051. The reversal of 116267040 is 40762611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 116266995 and 116267013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378567 + ... + 378873.

It is an arithmetic number, because the mean of its divisors is an integer number (2774772).

Almost surely, 2116267040 is an apocalyptic number.

116267040 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 116267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584).

116267040 is an abundant number, since it is smaller than the sum of its proper divisors (283300128).

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

116267040 is a wasteful number, since it uses less digits than its factorization.

116267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 116267040 is about 10782.7195085470. The cubic root of 116267040 is about 488.0738488974.

The spelling of 116267040 in words is "one hundred sixteen million, two hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 263 288 307 360 480 526 614 720 789 921 1052 1228 1315 1440 1535 1578 1842 2104 2367 2456 2630 2763 3070 3156 3684 3945 4208 4605 4734 4912 5260 5526 6140 6312 7368 7890 8416 9210 9468 9824 10520 11052 11835 12280 12624 13815 14736 15780 18420 18936 21040 22104 23670 24560 25248 27630 29472 31560 36840 37872 42080 44208 47340 49120 55260 63120 73680 75744 80741 88416 94680 110520 126240 147360 161482 189360 221040 242223 322964 378720 403705 442080 484446 645928 726669 807410 968892 1211115 1291856 1453338 1614820 1937784 2422230 2583712 2906676 3229640 3633345 3875568 4844460 5813352 6459280 7266690 7751136 9688920 11626704 12918560 14533380 19377840 23253408 29066760 38755680 58133520 116267040