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166406680 = 235111312887
BaseRepresentation
bin10011110101100…
…10101000011000
3102121010100001101
421322302220120
5320100003210
624302401144
74060301446
oct1172625030
9377110041
10166406680
1185a28890
12478901b4
13286248bb
1418159b96
15e920a3a
hex9eb2a18

166406680 has 64 divisors (see below), whose sum is σ = 411713280. Its totient is φ = 60028800.

The previous prime is 166406629. The next prime is 166406687. The reversal of 166406680 is 86604661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166406687) 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, 56197 + ... + 59083.

It is an arithmetic number, because the mean of its divisors is an integer number (6433020).

Almost surely, 2166406680 is an apocalyptic number.

166406680 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 166406680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205856640).

166406680 is an abundant number, since it is smaller than the sum of its proper divisors (245306600).

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

166406680 is a wasteful number, since it uses less digits than its factorization.

166406680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 166406680 is about 12899.8713171876. The cubic root of 166406680 is about 550.0349068754.

The spelling of 166406680 in words is "one hundred sixty-six million, four hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 2887 5240 5764 5774 7205 11528 11548 14410 14435 23096 28820 28870 31757 57640 57740 63514 115480 127028 158785 254056 317570 378197 635140 756394 1270280 1512788 1890985 3025576 3781970 4160167 7563940 8320334 15127880 16640668 20800835 33281336 41601670 83203340 166406680