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116311248 = 2433307877
BaseRepresentation
bin1101110111011…
…00010011010000
322002212020001000
412323230103100
5214233424443
615312542000
72611425564
oct673542320
9262766030
10116311248
115a7223a9
1232b51900
131b134c31
14116396a4
15a3278d3
hex6eec4d0

116311248 has 80 divisors (see below), whose sum is σ = 335325760. Its totient is φ = 38600064.

The previous prime is 116311231. The next prime is 116311249. The reversal of 116311248 is 842113611.

It is a happy number.

116311248 is a `hidden beast` number, since 1 + 1 + 631 + 1 + 24 + 8 = 666.

It is a super-2 number, since 2×1163112482 = 27056612822635008, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116311249) 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, 132186 + ... + 133062.

It is an arithmetic number, because the mean of its divisors is an integer number (4191572).

Almost surely, 2116311248 is an apocalyptic number.

116311248 is a gapful number since it is divisible by the number (18) 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 116311248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167662880).

116311248 is an abundant number, since it is smaller than the sum of its proper divisors (219014512).

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

116311248 is a wasteful number, since it uses less digits than its factorization.

116311248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 116311248 is about 10784.7692603968. The cubic root of 116311248 is about 488.1357008621.

Adding to 116311248 its reverse (842113611), we get a palindrome (958424859).

It can be divided in two parts, 116 and 311248, that added together give a square (311364 = 5582).

The spelling of 116311248 in words is "one hundred sixteen million, three hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 877 921 1228 1754 1842 2456 2631 2763 3508 3684 4912 5262 5526 7016 7368 7893 8289 10524 11052 14032 14736 15786 16578 21048 22104 23679 31572 33156 42096 44208 47358 63144 66312 94716 126288 132624 189432 269239 378864 538478 807717 1076956 1615434 2153912 2423151 3230868 4307824 4846302 6461736 7269453 9692604 12923472 14538906 19385208 29077812 38770416 58155624 116311248