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116036128 = 2513733821
BaseRepresentation
bin1101110101010…
…01001000100000
322002100020122101
412322221020200
5214201124003
615303020144
72606201515
oct672511040
9262306571
10116036128
115a55472a
1232a3a654
131b069940
14115a730c
15a2c111d
hex6ea9220

116036128 has 48 divisors (see below), whose sum is σ = 249454296. Its totient is φ = 52807680.

The previous prime is 116036113. The next prime is 116036171. The reversal of 116036128 is 821630611.

It can be written as a sum of positive squares in 4 ways, for example, as 104284944 + 11751184 = 10212^2 + 3428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116036096 and 116036105.

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 7 ways as a sum of consecutive naturals, for example, 28458 + ... + 32278.

Almost surely, 2116036128 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 116036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124727148).

116036128 is an abundant number, since it is smaller than the sum of its proper divisors (133418168).

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

116036128 is a wasteful number, since it uses less digits than its factorization.

116036128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 116036128 is about 10772.0066839935. The cubic root of 116036128 is about 487.7505219492.

Adding to 116036128 its reverse (821630611), we get a palindrome (937666739).

The spelling of 116036128 in words is "one hundred sixteen million, thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1898 2336 3796 3821 7592 7642 15184 15284 30368 30568 49673 61136 99346 122272 198692 278933 397384 557866 794768 1115732 1589536 2231464 3626129 4462928 7252258 8925856 14504516 29009032 58018064 116036128