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12730008 = 2331741761
BaseRepresentation
bin110000100011…
…111010011000
3212221202021210
4300203322120
511224330013
61132503120
7213126504
oct60437230
925852253
1012730008
117205275
12431aaa0
132839365
141995304
1511b6cc3
hexc23e98

12730008 has 64 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 3891200.

The previous prime is 12730007. The next prime is 12730013. The reversal of 12730008 is 80003721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16348 + ... + 17108.

Almost surely, 212730008 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 12730008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

12730008 is an abundant number, since it is smaller than the sum of its proper divisors (21834312).

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

12730008 is a wasteful number, since it uses less digits than its factorization.

12730008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12730008 is about 3567.9136760858. The cubic root of 12730008 is about 233.4942690186.

Adding to 12730008 its reverse (80003721), we get a palindrome (92733729).

It can be divided in two parts, 127 and 30008, that added together give a triangular number (30135 = T245).

The spelling of 12730008 in words is "twelve million, seven hundred thirty thousand, eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 761 984 1394 1522 2091 2283 2788 3044 4182 4566 5576 6088 8364 9132 12937 16728 18264 25874 31201 38811 51748 62402 77622 93603 103496 124804 155244 187206 249608 310488 374412 530417 748824 1060834 1591251 2121668 3182502 4243336 6365004 12730008