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116536446 = 232132359367
BaseRepresentation
bin1101111001000…
…11010001111110
322010021122221200
412330203101332
5214313131241
615321440330
72613354255
oct674432176
9263248850
10116536446
115a866614
12330400a6
131b1b35a0
141169779c
15a36e4b6
hex6f2347e

116536446 has 96 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 33625152.

The previous prime is 116536417. The next prime is 116536451. The reversal of 116536446 is 644635611.

It is a happy number.

116536446 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 3 + 644 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116536446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317355 + ... + 317721.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2116536446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116536446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

116536446 is an abundant number, since it is smaller than the sum of its proper divisors (172799874).

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

116536446 is a wasteful number, since it uses less digits than its factorization.

116536446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 116536446 is about 10795.2047687851. The cubic root of 116536446 is about 488.4505351706.

The spelling of 116536446 in words is "one hundred sixteen million, five hundred thirty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 59 69 78 117 118 138 177 207 234 299 354 367 414 531 598 734 767 897 1062 1101 1357 1534 1794 2202 2301 2691 2714 3303 4071 4602 4771 5382 6606 6903 8142 8441 9542 12213 13806 14313 16882 17641 21653 24426 25323 28626 35282 42939 43306 50646 52923 64959 75969 85878 105846 109733 129918 151938 158769 194877 219466 281489 317538 329199 389754 498019 562978 658398 844467 987597 996038 1494057 1688934 1975194 2533401 2988114 4482171 5066802 6474247 8964342 12948494 19422741 38845482 58268223 116536446