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30045132 = 223213431493
BaseRepresentation
bin111001010011…
…1001111001100
32002112110011200
41302213033030
530142421012
62551545500
7513244065
oct162471714
962473150
1030045132
1115a61397
12a08b290
1362bc6b0
143dc156c
1529873dc
hex1ca73cc

30045132 has 72 divisors (see below), whose sum is σ = 83747664. Its totient is φ = 9023616.

The previous prime is 30045109. The next prime is 30045133. The reversal of 30045132 is 23154003.

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

It is not an unprimeable number, because it can be changed into a prime (30045133) 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, 19378 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (1163162).

Almost surely, 230045132 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 30045132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41873832).

30045132 is an abundant number, since it is smaller than the sum of its proper divisors (53702532).

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

30045132 is a wasteful number, since it uses less digits than its factorization.

30045132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30045132 is about 5481.3439957733. The cubic root of 30045132 is about 310.8789898761.

Adding to 30045132 its reverse (23154003), we get a palindrome (53199135).

The spelling of 30045132 in words is "thirty million, forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1493 1548 1677 2236 2986 3354 4479 5031 5972 6708 8958 10062 13437 17916 19409 20124 26874 38818 53748 58227 64199 77636 116454 128398 174681 192597 232908 256796 349362 385194 577791 698724 770388 834587 1155582 1669174 2311164 2503761 3338348 5007522 7511283 10015044 15022566 30045132