Search a number
-
+
168929208 = 23327571587
BaseRepresentation
bin10100001000110…
…10011110111000
3102202212111022100
422010122132320
5321221213313
624432423400
74120605660
oct1204323670
9382774270
10168929208
11873a1018
12486a7b60
1328cc8b16
14186151a0
15ec6d173
hexa11a7b8

168929208 has 96 divisors (see below), whose sum is σ = 524684160. Its totient is φ = 48098880.

The previous prime is 168929207. The next prime is 168929231. The reversal of 168929208 is 802929861.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168929207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287491 + ... + 288077.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2168929208 is an apocalyptic number.

168929208 is a gapful number since it is divisible by the number (18) 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 168929208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

168929208 is an abundant number, since it is smaller than the sum of its proper divisors (355754952).

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

168929208 is a wasteful number, since it uses less digits than its factorization.

168929208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 168929208 is about 12997.2769455759. The cubic root of 168929208 is about 552.8002727507.

The spelling of 168929208 in words is "one hundred sixty-eight million, nine hundred twenty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 571 587 1142 1174 1713 1761 2284 2348 3426 3522 3997 4109 4568 4696 5139 5283 6852 7044 7994 8218 10278 10566 11991 12327 13704 14088 15988 16436 20556 21132 23982 24654 31976 32872 35973 36981 41112 42264 47964 49308 71946 73962 95928 98616 143892 147924 287784 295848 335177 670354 1005531 1340708 2011062 2346239 2681416 3016593 4022124 4692478 6033186 7038717 8044248 9384956 12066372 14077434 18769912 21116151 24132744 28154868 42232302 56309736 84464604 168929208