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166635140 = 22572115641
BaseRepresentation
bin10011110111010…
…10011010000100
3102121112221102212
421323222122010
5320124311030
624311322552
74062242510
oct1173523204
9377487385
10166635140
11860744a1
1247980458
13286a4899
14181b9140
15e968595
hex9eea684

166635140 has 48 divisors (see below), whose sum is σ = 401890944. Its totient is φ = 56851200.

The previous prime is 166635113. The next prime is 166635169. The reversal of 166635140 is 41536661.

166635140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 166635097 and 166635106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26720 + ... + 32360.

It is an arithmetic number, because the mean of its divisors is an integer number (8372728).

Almost surely, 2166635140 is an apocalyptic number.

166635140 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 166635140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200945472).

166635140 is an abundant number, since it is smaller than the sum of its proper divisors (235255804).

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

166635140 is a wasteful number, since it uses less digits than its factorization.

166635140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 166635140 is about 12908.7234070608. The cubic root of 166635140 is about 550.2865063744.

It can be divided in two parts, 166635 and 140, that multiplied together give a square (23328900 = 48302).

The spelling of 166635140 in words is "one hundred sixty-six million, six hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 4220 5641 5908 7385 11282 14770 22564 28205 29540 39487 56410 78974 112820 157948 197435 394870 789740 1190251 2380502 4761004 5951255 8331757 11902510 16663514 23805020 33327028 41658785 83317570 166635140