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116296960 = 2851329241
BaseRepresentation
bin1101110111010…
…00110100000000
322002211111102211
412323220310000
5214233000320
615312351504
72611336123
oct673506400
9262744384
10116296960
115a71269a
1232b45594
131b12b590
14116343ba
15a32355a
hex6ee8d00

116296960 has 144 divisors (see below), whose sum is σ = 311628240. Its totient is φ = 41287680.

The previous prime is 116296933. The next prime is 116296969. The reversal of 116296960 is 69692611.

It can be written as a sum of positive squares in 8 ways, for example, as 1721344 + 114575616 = 1312^2 + 10704^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116296969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482440 + ... + 482680.

It is an arithmetic number, because the mean of its divisors is an integer number (2164085).

Almost surely, 2116296960 is an apocalyptic number.

116296960 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 116296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155814120).

116296960 is an abundant number, since it is smaller than the sum of its proper divisors (195331280).

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

116296960 is a wasteful number, since it uses less digits than its factorization.

116296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 116296960 is about 10784.1068243967. The cubic root of 116296960 is about 488.1157120573.

The spelling of 116296960 in words is "one hundred sixteen million, two hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 241 256 260 290 320 377 416 464 482 520 580 640 754 832 928 964 1040 1160 1205 1280 1508 1664 1856 1885 1928 2080 2320 2410 3016 3133 3328 3712 3770 3856 4160 4640 4820 6032 6266 6989 7424 7540 7712 8320 9280 9640 12064 12532 13978 15080 15424 15665 16640 18560 19280 24128 25064 27956 30160 30848 31330 34945 37120 38560 48256 50128 55912 60320 61696 62660 69890 77120 90857 96512 100256 111824 120640 125320 139780 154240 181714 200512 223648 241280 250640 279560 308480 363428 401024 447296 454285 482560 501280 559120 726856 802048 894592 908570 1002560 1118240 1453712 1789184 1817140 2005120 2236480 2907424 3634280 4010240 4472960 5814848 7268560 8945920 11629696 14537120 23259392 29074240 58148480 116296960