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30132630 = 23251122767
BaseRepresentation
bin111001011110…
…0100110010110
32002200220012100
41302330212112
530203221010
62553502530
7514060143
oct162744626
962626170
1030132630
1116011100
12a111a46
136320478
1440053ca
1529a32c0
hex1cbc996

30132630 has 72 divisors (see below), whose sum is σ = 86145696. Its totient is φ = 7302240.

The previous prime is 30132629. The next prime is 30132631. The reversal of 30132630 is 3623103.

It is a happy number.

30132630 is a `hidden beast` number, since 3 + 0 + 1 + 32 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (30132629) and next prime (30132631).

It is a super-3 number, since 3×301326303 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132631) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9507 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (1196468).

Almost surely, 230132630 is an apocalyptic number.

30132630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43072848).

30132630 is an abundant number, since it is smaller than the sum of its proper divisors (56013066).

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

30132630 is a wasteful number, since it uses less digits than its factorization.

30132630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30132630 is about 5489.3196299724. The cubic root of 30132630 is about 311.1804799492.

Adding to 30132630 its reverse (3623103), we get a palindrome (33755733).

The spelling of 30132630 in words is "thirty million, one hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 2767 3630 5445 5534 8301 10890 13835 16602 24903 27670 30437 41505 49806 60874 83010 91311 124515 152185 182622 249030 273933 304370 334807 456555 547866 669614 913110 1004421 1369665 1674035 2008842 2739330 3013263 3348070 5022105 6026526 10044210 15066315 30132630