Search a number
-
+
166240416 = 25317101863
BaseRepresentation
bin10011110100010…
…10000010100000
3102120210212222110
421322022002200
5320024143131
624255035320
74056006636
oct1172120240
9376725873
10166240416
1185924981
124780bb40
1328597014
1418115356
15e8db646
hex9e8a0a0

166240416 has 48 divisors (see below), whose sum is σ = 462055104. Its totient is φ = 52153344.

The previous prime is 166240409. The next prime is 166240427. The reversal of 166240416 is 614042661.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49300 + ... + 52563.

It is an arithmetic number, because the mean of its divisors is an integer number (9626148).

Almost surely, 2166240416 is an apocalyptic number.

166240416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166240416 is an abundant number, since it is smaller than the sum of its proper divisors (295814688).

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

166240416 is a wasteful number, since it uses less digits than its factorization.

166240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101893 (or 101885 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 166240416 is about 12893.4253012921. The cubic root of 166240416 is about 549.8516580655.

The spelling of 166240416 in words is "one hundred sixty-six million, two hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 101863 203726 305589 407452 611178 814904 1222356 1629808 1731671 2444712 3259616 3463342 4889424 5195013 6926684 9778848 10390026 13853368 20780052 27706736 41560104 55413472 83120208 166240416