Search a number
-
+
167042420 = 22537225733
BaseRepresentation
bin10011111010011…
…01110101110100
3102122022122010022
421331031311310
5320230324140
624324144312
74065560066
oct1175156564
9378278108
10167042420
1186322496
1247b38098
13287b808c
1418283736
15e9e90b5
hex9f4dd74

167042420 has 24 divisors (see below), whose sum is σ = 360271464. Its totient is φ = 65010816.

The previous prime is 167042411. The next prime is 167042431. The reversal of 167042420 is 24240761.

It can be written as a sum of positive squares in 4 ways, for example, as 7171684 + 159870736 = 2678^2 + 12644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 167042420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112127 + ... + 113606.

It is an arithmetic number, because the mean of its divisors is an integer number (15011311).

Almost surely, 2167042420 is an apocalyptic number.

167042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167042420 is an abundant number, since it is smaller than the sum of its proper divisors (193229044).

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

167042420 is a wasteful number, since it uses less digits than its factorization.

167042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225779 (or 225777 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 167042420 is about 12924.4891581834. The cubic root of 167042420 is about 550.7344677939.

The spelling of 167042420 in words is "one hundred sixty-seven million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 225733 451466 902932 1128665 2257330 4514660 8352121 16704242 33408484 41760605 83521210 167042420