Search a number
-
+
116163096 = 233729113211
BaseRepresentation
bin1101110110010…
…00001000011000
322002120200210220
412323020020120
5214214204341
615305440040
72610240630
oct673101030
9262520726
10116163096
115a631065
1232aa0020
131b0b267a
14115db6c0
15a2e8a66
hex6ec8218

116163096 has 128 divisors (see below), whose sum is σ = 348019200. Its totient is φ = 31610880.

The previous prime is 116163053. The next prime is 116163097. The reversal of 116163096 is 690361611.

116163096 = T96 + T97 + ... + T886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116163097) 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 31 ways as a sum of consecutive naturals, for example, 550431 + ... + 550641.

It is an arithmetic number, because the mean of its divisors is an integer number (2718900).

Almost surely, 2116163096 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 116163096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174009600).

116163096 is an abundant number, since it is smaller than the sum of its proper divisors (231856104).

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

116163096 is a wasteful number, since it uses less digits than its factorization.

116163096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 116163096 is about 10777.8984964602. The cubic root of 116163096 is about 487.9283577530.

The spelling of 116163096 in words is "one hundred sixteen million, one hundred sixty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 113 116 168 174 203 211 226 232 339 348 406 422 452 609 633 678 696 791 812 844 904 1218 1266 1356 1477 1582 1624 1688 2373 2436 2532 2712 2954 3164 3277 4431 4746 4872 5064 5908 6119 6328 6554 8862 9492 9831 11816 12238 13108 17724 18357 18984 19662 22939 23843 24476 26216 35448 36714 39324 42833 45878 47686 48952 68817 71529 73428 78648 85666 91756 95372 128499 137634 143058 146856 166901 171332 183512 190744 256998 275268 286116 333802 342664 500703 513996 550536 572232 667604 691447 1001406 1027992 1335208 1382894 2002812 2074341 2765788 4005624 4148682 4840129 5531576 8297364 9680258 14520387 16594728 19360516 29040774 38721032 58081548 116163096