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12540352 = 261147379
BaseRepresentation
bin101111110101…
…100111000000
3212121010010111
4233311213000
511202242402
61124441104
7211406536
oct57654700
925533114
1012540352
117095830
124249194
1327a0c36
141946156
15117a9d7
hexbf59c0

12540352 has 56 divisors (see below), whose sum is σ = 27797760. Its totient is φ = 5564160.

The previous prime is 12540347. The next prime is 12540371. The reversal of 12540352 is 25304521.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32899 + ... + 33277.

Almost surely, 212540352 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 12540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

12540352 is an abundant number, since it is smaller than the sum of its proper divisors (15257408).

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

12540352 is a wasteful number, since it uses less digits than its factorization.

12540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 12540352 is about 3541.2359424359. The cubic root of 12540352 is about 232.3289032957.

Adding to 12540352 its reverse (25304521), we get a palindrome (37844873).

The spelling of 12540352 in words is "twelve million, five hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 379 517 704 752 758 1034 1504 1516 2068 3008 3032 4136 4169 6064 8272 8338 12128 16544 16676 17813 24256 33088 33352 35626 66704 71252 133408 142504 195943 266816 285008 391886 570016 783772 1140032 1567544 3135088 6270176 12540352