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116197120 = 285136983
BaseRepresentation
bin1101110110100…
…00011100000000
322002122102111001
412323100130000
5214221301440
615310301344
72610442054
oct673203400
9262572431
10116197120
115a654686
1232ab7854
131b0c4cc0
1411609c64
15a303b9a
hex6ed0700

116197120 has 72 divisors (see below), whose sum is σ = 299781216. Its totient is φ = 42897408.

The previous prime is 116197117. The next prime is 116197121. The reversal of 116197120 is 21791611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116197121) by changing a digit.

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, 13149 + ... + 20131.

It is an arithmetic number, because the mean of its divisors is an integer number (4163628).

Almost surely, 2116197120 is an apocalyptic number.

116197120 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 116197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149890608).

116197120 is an abundant number, since it is smaller than the sum of its proper divisors (183584096).

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

116197120 is an equidigital number, since it uses as much as digits as its factorization.

116197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 28.

The square root of 116197120 is about 10779.4767962086. The cubic root of 116197120 is about 487.9759909356.

The spelling of 116197120 in words is "one hundred sixteen million, one hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 6983 8320 13966 16640 27932 34915 55864 69830 90779 111728 139660 181558 223456 279320 363116 446912 453895 558640 726232 893824 907790 1117280 1452464 1787648 1815580 2234560 2904928 3631160 4469120 5809856 7262320 8938240 11619712 14524640 23239424 29049280 58098560 116197120