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116058368 = 28232857
BaseRepresentation
bin1101110101011…
…10100100000000
322002101101011002
412322232210000
5214202331433
615303311132
72606323406
oct672564400
9262341132
10116058368
115a56a408
1232a4b4a8
131b076aba
14115b1476
15a2c79e8
hex6eae900

116058368 has 54 divisors (see below), whose sum is σ = 242456214. Its totient is φ = 55441408.

The previous prime is 116058367. The next prime is 116058379. The reversal of 116058368 is 863850611.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113891584 + 2166784 = 10672^2 + 1472^2 .

It is not an unprimeable number, because it can be changed into a prime (116058367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134996 + ... + 135852.

Almost surely, 2116058368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116058368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121228107).

116058368 is an abundant number, since it is smaller than the sum of its proper divisors (126397846).

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

116058368 is an frugal number, since it uses more digits than its factorization.

116058368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 116058368 is about 10773.0389398721. The cubic root of 116058368 is about 487.7816814361.

The spelling of 116058368 in words is "one hundred sixteen million, fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 857 1058 1472 1714 2116 2944 3428 4232 5888 6856 8464 13712 16928 19711 27424 33856 39422 54848 67712 78844 109696 135424 157688 219392 315376 453353 630752 906706 1261504 1813412 2523008 3626824 5046016 7253648 14507296 29014592 58029184 116058368