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116191936 = 26736779
BaseRepresentation
bin1101110110011…
…11001011000000
322002122011101001
412323033023000
5214221120221
615310221344
72610421000
oct673171300
9262564331
10116191936
115a6507a3
1232ab4854
131b0c2833
1411608000
15a302391
hex6ecf2c0

116191936 has 112 divisors (see below), whose sum is σ = 276352000. Its totient is φ = 48432384.

The previous prime is 116191913. The next prime is 116191961. The reversal of 116191936 is 639191611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 116191895 and 116191904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470745 + ... + 1470823.

Almost surely, 2116191936 is an apocalyptic number.

116191936 is a gapful number since it is divisible by the number (16) 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 116191936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138176000).

116191936 is an abundant number, since it is smaller than the sum of its proper divisors (160160064).

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

116191936 is an frugal number, since it uses more digits than its factorization.

116191936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 8748, while the sum is 37.

The square root of 116191936 is about 10779.2363365871. The cubic root of 116191936 is about 487.9687339997.

The spelling of 116191936 in words is "one hundred sixteen million, one hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 79 98 112 134 158 196 224 268 316 343 392 448 469 536 553 632 686 784 938 1072 1106 1264 1372 1568 1876 2144 2212 2528 2744 3136 3283 3752 3871 4288 4424 5056 5293 5488 6566 7504 7742 8848 10586 10976 13132 15008 15484 17696 21172 21952 22981 26264 27097 30016 30968 35392 37051 42344 45962 52528 54194 61936 74102 84688 91924 105056 108388 123872 148204 169376 183848 210112 216776 247744 259357 296408 338752 367696 433552 518714 592816 735392 867104 1037428 1185632 1470784 1734208 1815499 2074856 2371264 3630998 4149712 7261996 8299424 14523992 16598848 29047984 58095968 116191936