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30014112 = 2531753347
BaseRepresentation
bin111001001111…
…1101010100000
32002110212121210
41302133222200
530140422422
62551150120
7513054462
oct162375240
962425553
1030014112
1115a40057
12a075340
1362ab53b
143db4132
15297d10c
hex1c9faa0

30014112 has 96 divisors (see below), whose sum is σ = 85240512. Its totient is φ = 9211904.

The previous prime is 30014111. The next prime is 30014123. The reversal of 30014112 is 21141003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (30014111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 86323 + ... + 86669.

It is an arithmetic number, because the mean of its divisors is an integer number (887922).

Almost surely, 230014112 is an apocalyptic number.

30014112 is a gapful number since it is divisible by the number (32) 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 30014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42620256).

30014112 is an abundant number, since it is smaller than the sum of its proper divisors (55226400).

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

30014112 is a wasteful number, since it uses less digits than its factorization.

30014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 30014112 is about 5478.5136670451. The cubic root of 30014112 is about 310.7719643636.

Adding to 30014112 its reverse (21141003), we get a palindrome (51155115).

The spelling of 30014112 in words is "thirty million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 347 408 424 544 636 694 816 848 901 1041 1272 1388 1632 1696 1802 2082 2544 2703 2776 3604 4164 5088 5406 5552 5899 7208 8328 10812 11104 11798 14416 16656 17697 18391 21624 23596 28832 33312 35394 36782 43248 47192 55173 70788 73564 86496 94384 110346 141576 147128 188768 220692 283152 294256 312647 441384 566304 588512 625294 882768 937941 1250588 1765536 1875882 2501176 3751764 5002352 7503528 10004704 15007056 30014112