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166407131 = 1135574253
BaseRepresentation
bin10011110101100…
…10101111011011
3102121010100200002
421322302233123
5320100012011
624302403215
74060302662
oct1172625733
9377110602
10166407131
1185a29160
124789050b
1328624b77
1418159dd9
15e920c3b
hex9eb2bdb

166407131 has 8 divisors (see below), whose sum is σ = 181628784. Its totient is φ = 151201120.

The previous prime is 166407097. The next prime is 166407181. The reversal of 166407131 is 131704661.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 166407131 - 226 = 99298267 is a prime.

It is a super-2 number, since 2×1664071312 = 55382666495302322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166407094 and 166407103.

It is not an unprimeable number, because it can be changed into a prime (166407181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37001 + ... + 41253.

It is an arithmetic number, because the mean of its divisors is an integer number (22703598).

Almost surely, 2166407131 is an apocalyptic number.

166407131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

166407131 is a deficient number, since it is larger than the sum of its proper divisors (15221653).

166407131 is a wasteful number, since it uses less digits than its factorization.

166407131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 166407131 is about 12899.8887979703. Note that the first 3 decimals coincide. The cubic root of 166407131 is about 550.0354037816.

The spelling of 166407131 in words is "one hundred sixty-six million, four hundred seven thousand, one hundred thirty-one".

Divisors: 1 11 3557 4253 39127 46783 15127921 166407131