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166107380 = 225231931871
BaseRepresentation
bin10011110011010…
…01100011110100
3102120120010111012
421321221203310
5320010414010
624252131352
74054614035
oct1171514364
9376503435
10166107380
1185843a2a
1247766b58
132854b5ba
14180bca8c
15e8b2005
hex9e698f4

166107380 has 48 divisors (see below), whose sum is σ = 366073344. Its totient is φ = 63191040.

The previous prime is 166107377. The next prime is 166107419. The reversal of 166107380 is 83701661.

It is a congruent number.

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, 87845 + ... + 89715.

It is an arithmetic number, because the mean of its divisors is an integer number (7626528).

Almost surely, 2166107380 is an apocalyptic number.

166107380 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 166107380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183036672).

166107380 is an abundant number, since it is smaller than the sum of its proper divisors (199965964).

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

166107380 is a wasteful number, since it uses less digits than its factorization.

166107380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 166107380 is about 12888.2652052167. The cubic root of 166107380 is about 549.7049436690.

The spelling of 166107380 in words is "one hundred sixty-six million, one hundred seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 193 230 386 460 772 965 1871 1930 3742 3860 4439 7484 8878 9355 17756 18710 22195 37420 43033 44390 86066 88780 172132 215165 361103 430330 722206 860660 1444412 1805515 3611030 7222060 8305369 16610738 33221476 41526845 83053690 166107380