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30012580 = 22513891297
BaseRepresentation
bin111001001111…
…1010010100100
32002110210112001
41302133102210
530140400310
62551135044
7513050143
oct162372244
962423461
1030012580
1115a39994
12a074484
1362aa930
143db375a
15297c93a
hex1c9f4a4

30012580 has 48 divisors (see below), whose sum is σ = 68690160. Its totient is φ = 10948608.

The previous prime is 30012569. The next prime is 30012589. The reversal of 30012580 is 8521003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 135424 + 29877156 = 368^2 + 5466^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30012589) 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, 22492 + ... + 23788.

It is an arithmetic number, because the mean of its divisors is an integer number (1431045).

Almost surely, 230012580 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 30012580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34345080).

30012580 is an abundant number, since it is smaller than the sum of its proper divisors (38677580).

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

30012580 is a wasteful number, since it uses less digits than its factorization.

30012580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 30012580 is about 5478.3738463161. The cubic root of 30012580 is about 310.7666767314.

Adding to 30012580 its reverse (8521003), we get a palindrome (38533583).

It can be divided in two parts, 300125 and 80, that multiplied together give a 4-th power (24010000 = 704).

The spelling of 30012580 in words is "thirty million, twelve thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1297 1780 2314 2594 4628 5188 5785 6485 11570 12970 16861 23140 25940 33722 67444 84305 115433 168610 230866 337220 461732 577165 1154330 1500629 2308660 3001258 6002516 7503145 15006290 30012580