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116374104 = 23337116997
BaseRepresentation
bin1101110111110…
…11101001011000
322002222102021000
412323323221120
5214242432404
615314145000
72612110050
oct673735130
9262872230
10116374104
115a765650
1232b82160
131b157722
1411654560
15a33b339
hex6efba58

116374104 has 128 divisors (see below), whose sum is σ = 403084800. Its totient is φ = 30222720.

The previous prime is 116374103. The next prime is 116374123. The reversal of 116374104 is 401473611.

It is a happy number.

116374104 is a `hidden beast` number, since 11 + 637 + 4 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116374103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13134 + ... + 20130.

It is an arithmetic number, because the mean of its divisors is an integer number (3149100).

Almost surely, 2116374104 is an apocalyptic number.

116374104 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 116374104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201542400).

116374104 is an abundant number, since it is smaller than the sum of its proper divisors (286710696).

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

116374104 is a wasteful number, since it uses less digits than its factorization.

116374104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 116374104 is about 10787.6829764320. The cubic root of 116374104 is about 488.2236164988.

The spelling of 116374104 in words is "one hundred sixteen million, three hundred seventy-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 6997 8316 13994 16632 20991 27988 41982 48979 55976 62973 76967 83964 97958 125946 146937 153934 167928 188919 195916 230901 251892 293874 307868 377838 391832 440811 461802 503784 538769 587748 615736 692703 755676 881622 923604 1077538 1175496 1322433 1385406 1511352 1616307 1763244 1847208 2078109 2155076 2644866 2770812 3232614 3526488 4156218 4310152 4848921 5289732 5541624 6465228 8312436 9697842 10579464 12930456 14546763 16624872 19395684 29093526 38791368 58187052 116374104