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30666132 = 22327731667
BaseRepresentation
bin111010011111…
…0110110010100
32010201000000200
41310332312110
530322304012
63013140500
7521441430
oct164766624
963630020
1030666132
1116345a12
12a32a730
136479253
1441039c0
152a5b3dc
hex1d3ed94

30666132 has 72 divisors (see below), whose sum is σ = 89858496. Its totient is φ = 8636544.

The previous prime is 30666131. The next prime is 30666143. The reversal of 30666132 is 23166603.

It is a junction number, because it is equal to n+sod(n) for n = 30666096 and 30666105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30666131) 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, 17563 + ... + 19229.

Almost surely, 230666132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30666132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44929248).

30666132 is an abundant number, since it is smaller than the sum of its proper divisors (59192364).

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

30666132 is a wasteful number, since it uses less digits than its factorization.

30666132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30666132 is about 5537.7009670079. The cubic root of 30666132 is about 313.0062433470.

The spelling of 30666132 in words is "thirty million, six hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 1667 2044 2628 3066 3334 4599 5001 6132 6668 9198 10002 11669 15003 18396 20004 23338 30006 35007 46676 60012 70014 105021 121691 140028 210042 243382 365073 420084 486764 730146 851837 1095219 1460292 1703674 2190438 2555511 3407348 4380876 5111022 7666533 10222044 15333066 30666132