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110668152 = 23376110799
BaseRepresentation
bin1101001100010…
…10100101111000
321201020112011110
412212022211320
5211312340102
614552000320
72512443450
oct646124570
9251215143
10110668152
1157518691
12310900a0
1319c0a51a
14109aad60
159ab086c
hex698a978

110668152 has 64 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 31098240.

The previous prime is 110668123. The next prime is 110668153. The reversal of 110668152 is 251866011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110668153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4849 + ... + 15647.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2110668152 is an apocalyptic number.

110668152 is a gapful number since it is divisible by the number (12) 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 110668152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

110668152 is an abundant number, since it is smaller than the sum of its proper divisors (210739848).

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

110668152 is a wasteful number, since it uses less digits than its factorization.

110668152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10872 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 110668152 is about 10519.8931553510. The cubic root of 110668152 is about 480.1101483328.

The spelling of 110668152 in words is "one hundred ten million, six hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 10799 21598 32397 43196 64794 75593 86392 129588 151186 226779 259176 302372 453558 604744 658739 907116 1317478 1814232 1976217 2634956 3952434 4611173 5269912 7904868 9222346 13833519 15809736 18444692 27667038 36889384 55334076 110668152