Search a number
-
+
167906052 = 22324664057
BaseRepresentation
bin10100000001000…
…00101100000100
3102200221111210200
422000200230010
5320440443202
624354450500
74106115006
oct1200405404
9380844720
10167906052
1186862336
1248293a30
1328a2b1c2
141842a376
15eb19e1c
hexa020b04

167906052 has 18 divisors (see below), whose sum is σ = 424429278. Its totient is φ = 55968672.

The previous prime is 167906041. The next prime is 167906077. The reversal of 167906052 is 250609761.

167906052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 152176896 + 15729156 = 12336^2 + 3966^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4664057 = 167906052 / (1 + 6 + 7 + 9 + 0 + 6 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 167905998 and 167906016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2331993 + ... + 2332064.

Almost surely, 2167906052 is an apocalyptic number.

167906052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167906052 is an abundant number, since it is smaller than the sum of its proper divisors (256523226).

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

167906052 is a wasteful number, since it uses less digits than its factorization.

167906052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664067 (or 4664062 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 167906052 is about 12957.8567672281. The cubic root of 167906052 is about 551.6819607767.

The spelling of 167906052 in words is "one hundred sixty-seven million, nine hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4664057 9328114 13992171 18656228 27984342 41976513 55968684 83953026 167906052