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30031680 = 2635741109
BaseRepresentation
bin111001010001…
…1111101000000
32002111202201110
41302203331000
530142003210
62551403320
7513156630
oct162437500
962452643
1030031680
1115a52278
12a083540
1362b6533
143dba6c0
152983420
hex1ca3f40

30031680 has 224 divisors, whose sum is σ = 112654080. Its totient is φ = 6635520.

The previous prime is 30031669. The next prime is 30031681. The reversal of 30031680 is 8613003.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30031681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275466 + ... + 275574.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 230031680 is an apocalyptic number.

30031680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

30031680 is an abundant number, since it is smaller than the sum of its proper divisors (82622400).

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

30031680 is a wasteful number, since it uses less digits than its factorization.

30031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30031680 is about 5480.1167870767. The cubic root of 30031680 is about 310.8325867023.

Adding to 30031680 its reverse (8613003), we get a palindrome (38644683).

The spelling of 30031680 in words is "thirty million, thirty-one thousand, six hundred eighty".