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116133960 = 23353472789
BaseRepresentation
bin1101110110000…
…01000001001000
322002112012211210
412323001001020
5214212241320
615305053120
72610056655
oct673010110
9262465753
10116133960
115a611188
1232a871a0
131b0a2327
14115d0c2c
15a2e00e0
hex6ec1048

116133960 has 64 divisors (see below), whose sum is σ = 349531200. Its totient is φ = 30868736.

The previous prime is 116133959. The next prime is 116133961. The reversal of 116133960 is 69331611.

It is an interprime number because it is at equal distance from previous prime (116133959) and next prime (116133961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (116133961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40246 + ... + 43034.

It is an arithmetic number, because the mean of its divisors is an integer number (5461425).

Almost surely, 2116133960 is an apocalyptic number.

116133960 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 116133960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174765600).

116133960 is an abundant number, since it is smaller than the sum of its proper divisors (233397240).

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

116133960 is a wasteful number, since it uses less digits than its factorization.

116133960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 116133960 is about 10776.5467567306. The cubic root of 116133960 is about 487.8875603172.

The spelling of 116133960 in words is "one hundred sixteen million, one hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 2789 3470 4164 5205 5578 6940 8328 8367 10410 11156 13880 13945 16734 20820 22312 27890 33468 41640 41835 55780 66936 83670 111560 167340 334680 967783 1935566 2903349 3871132 4838915 5806698 7742264 9677830 11613396 14516745 19355660 23226792 29033490 38711320 58066980 116133960