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116642484 = 22337277557
BaseRepresentation
bin1101111001111…
…01001010110100
322010111001102000
412330331022310
5214330024414
615324015300
72614305360
oct674751264
9263431360
10116642484
115a929252
1233091530
131b21c92a
14116c42a0
15a390b09
hex6f3d2b4

116642484 has 96 divisors (see below), whose sum is σ = 347477760. Its totient is φ = 33146496.

The previous prime is 116642467. The next prime is 116642497. The reversal of 116642484 is 484246611.

It is a happy number.

116642484 is a `hidden beast` number, since 1 + 1 + 6 + 642 + 4 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209134 + ... + 209690.

It is an arithmetic number, because the mean of its divisors is an integer number (3619560).

Almost surely, 2116642484 is an apocalyptic number.

116642484 is a gapful number since it is divisible by the number (14) 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 116642484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173738880).

116642484 is an abundant number, since it is smaller than the sum of its proper divisors (230835276).

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

116642484 is a wasteful number, since it uses less digits than its factorization.

116642484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 116642484 is about 10800.1149993877. The cubic root of 116642484 is about 488.5986393850.

The spelling of 116642484 in words is "one hundred sixteen million, six hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 277 378 554 557 756 831 1108 1114 1662 1671 1939 2228 2493 3324 3342 3878 3899 4986 5013 5817 6684 7479 7756 7798 9972 10026 11634 11697 14958 15039 15596 17451 20052 23268 23394 29916 30078 34902 35091 46788 52353 60156 69804 70182 104706 105273 140364 154289 209412 210546 308578 421092 462867 617156 925734 1080023 1388601 1851468 2160046 2777202 3240069 4165803 4320092 5554404 6480138 8331606 9720207 12960276 16663212 19440414 29160621 38880828 58321242 116642484