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30063132 = 22321189853
BaseRepresentation
bin111001010101…
…1101000011100
32002120100212100
41302223220130
530144010012
62552205100
7513350421
oct162535034
962510770
1030063132
1115a73970
12a099790
1362c7948
143dc7d48
15298c8dc
hex1caba1c

30063132 has 72 divisors (see below), whose sum is σ = 83931120. Its totient is φ = 8997120.

The previous prime is 30063119. The next prime is 30063151. The reversal of 30063132 is 23136003.

It is a happy number.

30063132 is a `hidden beast` number, since 3 + 0 + 0 + 631 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 34818 + ... + 35670.

It is an arithmetic number, because the mean of its divisors is an integer number (1165710).

Almost surely, 230063132 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 30063132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41965560).

30063132 is an abundant number, since it is smaller than the sum of its proper divisors (53867988).

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

30063132 is a wasteful number, since it uses less digits than its factorization.

30063132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

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

The square root of 30063132 is about 5482.9856830016. The cubic root of 30063132 is about 310.9410598837.

Adding to 30063132 its reverse (23136003), we get a palindrome (53199135).

The spelling of 30063132 in words is "thirty million, sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 853 979 1068 1602 1706 1958 2559 2937 3204 3412 3916 5118 5874 7677 8811 9383 10236 11748 15354 17622 18766 28149 30708 35244 37532 56298 75917 84447 112596 151834 168894 227751 303668 337788 455502 683253 835087 911004 1366506 1670174 2505261 2733012 3340348 5010522 7515783 10021044 15031566 30063132