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116668104 = 2337371372
BaseRepresentation
bin1101111010000…
…11011011001000
322010112100112220
412331003123020
5214331334404
615324334040
72614443150
oct675033310
9263470486
10116668104
115a946523
12330a4320
131b22b4a7
14116cd760
15a3984d9
hex6f436c8

116668104 has 96 divisors (see below), whose sum is σ = 344863680. Its totient is φ = 32196096.

The previous prime is 116668103. The next prime is 116668133. The reversal of 116668104 is 401866611.

It is a super-2 number, since 2×1166681042 = 27222892981909632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (116668103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851524 + ... + 851660.

It is an arithmetic number, because the mean of its divisors is an integer number (3592330).

Almost surely, 2116668104 is an apocalyptic number.

116668104 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 116668104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172431840).

116668104 is an abundant number, since it is smaller than the sum of its proper divisors (228195576).

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

116668104 is a wasteful number, since it uses less digits than its factorization.

116668104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 116668104 is about 10801.3010327460. The cubic root of 116668104 is about 488.6344096016.

The spelling of 116668104 in words is "one hundred sixteen million, six hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 137 148 168 222 259 274 296 411 444 518 548 777 822 888 959 1036 1096 1554 1644 1918 2072 2877 3108 3288 3836 5069 5754 6216 7672 10138 11508 15207 18769 20276 23016 30414 35483 37538 40552 56307 60828 70966 75076 106449 112614 121656 131383 141932 150152 212898 225228 262766 283864 394149 425796 450456 525532 694453 788298 851592 1051064 1388906 1576596 2083359 2777812 3153192 4166718 4861171 5555624 8333436 9722342 14583513 16666872 19444684 29167026 38889368 58334052 116668104