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116313000 = 23353137283
BaseRepresentation
bin1101110111011…
…00101110101000
322002212022102220
412323230232220
5214234004000
615312554040
72611433646
oct673545650
9262768386
10116313000
115a723751
1232b52920
131b13597b
141163a196
15a3281a0
hex6eecba8

116313000 has 128 divisors (see below), whose sum is σ = 366837120. Its totient is φ = 30681600.

The previous prime is 116312983. The next prime is 116313007. The reversal of 116313000 is 313611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (116313007) 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, 410859 + ... + 411141.

It is an arithmetic number, because the mean of its divisors is an integer number (2865915).

Almost surely, 2116313000 is an apocalyptic number.

116313000 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 116313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183418560).

116313000 is an abundant number, since it is smaller than the sum of its proper divisors (250524120).

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

116313000 is a wasteful number, since it uses less digits than its factorization.

116313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 116313000 is about 10784.8504857508. The cubic root of 116313000 is about 488.1381517843.

Adding to 116313000 its reverse (313611), we get a palindrome (116626611).

The spelling of 116313000 in words is "one hundred sixteen million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 283 300 375 411 500 548 566 600 685 750 822 849 1000 1096 1132 1370 1415 1500 1644 1698 2055 2264 2740 2830 3000 3288 3396 3425 4110 4245 5480 5660 6792 6850 7075 8220 8490 10275 11320 13700 14150 16440 16980 17125 20550 21225 27400 28300 33960 34250 35375 38771 41100 42450 51375 56600 68500 70750 77542 82200 84900 102750 106125 116313 137000 141500 155084 169800 193855 205500 212250 232626 283000 310168 387710 411000 424500 465252 581565 775420 849000 930504 969275 1163130 1550840 1938550 2326260 2907825 3877100 4652520 4846375 5815650 7754200 9692750 11631300 14539125 19385500 23262600 29078250 38771000 58156500 116313000