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117446000 = 245378389
BaseRepresentation
bin1110000000000…
…01010101110000
322011222212121212
413000001111300
5220031233000
615353135252
72624163110
oct700012560
9264885555
10117446000
1160327a11
12333ba528
131b441599
1411853040
15a49dc35
hex7001570

117446000 has 80 divisors (see below), whose sum is σ = 324592320. Its totient is φ = 40262400.

The previous prime is 117445963. The next prime is 117446009. The reversal of 117446000 is 644711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117446009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9806 + ... + 18194.

It is an arithmetic number, because the mean of its divisors is an integer number (4057404).

Almost surely, 2117446000 is an apocalyptic number.

117446000 is a gapful number since it is divisible by the number (10) 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 117446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162296160).

117446000 is an abundant number, since it is smaller than the sum of its proper divisors (207146320).

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

117446000 is an equidigital number, since it uses as much as digits as its factorization.

117446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 117446000 is about 10837.2505738310. The cubic root of 117446000 is about 489.7180107331.

It can be divided in two parts, 1174 and 46000, that added together give a palindrome (47174).

The spelling of 117446000 in words is "one hundred seventeen million, four hundred forty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 8389 14000 16778 33556 41945 58723 67112 83890 117446 134224 167780 209725 234892 293615 335560 419450 469784 587230 671120 838900 939568 1048625 1174460 1468075 1677800 2097250 2348920 2936150 3355600 4194500 4697840 5872300 7340375 8389000 11744600 14680750 16778000 23489200 29361500 58723000 117446000