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12515772 = 22323137331
BaseRepresentation
bin101111101111…
…100110111100
3212112212102010
4233233212330
511201001042
61124131220
7211245063
oct57574674
925485363
1012515772
117079315
124236b10
1327929a9
14193b1da
15117359c
hexbef9bc

12515772 has 48 divisors (see below), whose sum is σ = 30788352. Its totient is φ = 3949440.

The previous prime is 12515761. The next prime is 12515773. The reversal of 12515772 is 27751521.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12515773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37647 + ... + 37977.

It is an arithmetic number, because the mean of its divisors is an integer number (641424).

Almost surely, 212515772 is an apocalyptic number.

12515772 is a gapful number since it is divisible by the number (12) 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 12515772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394176).

12515772 is an abundant number, since it is smaller than the sum of its proper divisors (18272580).

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

12515772 is a wasteful number, since it uses less digits than its factorization.

12515772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 12515772 is about 3537.7637004187. The cubic root of 12515772 is about 232.1770101749.

The spelling of 12515772 in words is "twelve million, five hundred fifteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 274 276 331 411 548 662 822 993 1324 1644 1986 3151 3972 6302 7613 9453 12604 15226 18906 22839 30452 37812 45347 45678 90694 91356 136041 181388 272082 544164 1042981 2085962 3128943 4171924 6257886 12515772