Search a number
-
+
30677166 = 23213314229
BaseRepresentation
bin111010100000…
…1100010101110
32010201120011100
41311001202232
530323132131
63013303530
7521515542
oct165014256
963646140
1030677166
1116353233
12a334ba6
136481290
144107a22
152a5e7e6
hex1d418ae

30677166 has 48 divisors (see below), whose sum is σ = 73906560. Its totient is φ = 9132480.

The previous prime is 30677137. The next prime is 30677167. The reversal of 30677166 is 66177603.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30677166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30677167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5140 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (1539720).

Almost surely, 230677166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30677166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36953280).

30677166 is an abundant number, since it is smaller than the sum of its proper divisors (43229394).

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

30677166 is a wasteful number, since it uses less digits than its factorization.

30677166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 30677166 is about 5538.6971392197. The cubic root of 30677166 is about 313.0437798357.

The spelling of 30677166 in words is "thirty million, six hundred seventy-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 4229 7254 8458 12687 25374 38061 54977 76122 109954 131099 164931 262198 329862 393297 494793 786594 989586 1179891 1704287 2359782 3408574 5112861 10225722 15338583 30677166