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116095728 = 24371672069
BaseRepresentation
bin1101110101101…
…11101011110000
322002110021101210
412322313223300
5214210030403
615304200120
72606540340
oct672675360
9262407353
10116095728
115a595491
1232a69040
131b08aac8
14115c0d20
15a2d3b03
hex6eb7af0

116095728 has 80 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 32955648.

The previous prime is 116095717. The next prime is 116095741. The reversal of 116095728 is 827590611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55078 + ... + 57146.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2116095728 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 116095728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

116095728 is an abundant number, since it is smaller than the sum of its proper divisors (228882192).

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

116095728 is a wasteful number, since it uses less digits than its factorization.

116095728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 116095728 is about 10774.7727586247. The cubic root of 116095728 is about 487.8340159320.

The spelling of 116095728 in words is "one hundred sixteen million, ninety-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 2004 2069 2338 2672 3507 4008 4138 4676 6207 7014 8016 8276 9352 12414 14028 14483 16552 18704 24828 28056 28966 33104 43449 49656 56112 57932 86898 99312 115864 173796 231728 345523 347592 691046 695184 1036569 1382092 2073138 2418661 2764184 4146276 4837322 5528368 7255983 8292552 9674644 14511966 16585104 19349288 29023932 38698576 58047864 116095728