Search a number
-
+
12740500 = 225383307
BaseRepresentation
bin110000100110…
…011110010100
3212222021200101
4300212132110
511230144000
61133023444
7213202213
oct60463624
925867611
1012740500
117212143
124324b84
132841076
14199907a
1511b9e6a
hexc26794

12740500 has 48 divisors (see below), whose sum is σ = 28252224. Its totient is φ = 5018400.

The previous prime is 12740489. The next prime is 12740503. The reversal of 12740500 is 504721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740503) 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, 41347 + ... + 41653.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 212740500 is an apocalyptic number.

12740500 is a gapful number since it is divisible by the number (10) 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 12740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126112).

12740500 is an abundant number, since it is smaller than the sum of its proper divisors (15511724).

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

12740500 is a wasteful number, since it uses less digits than its factorization.

12740500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 12740500 is about 3569.3837003046. The cubic root of 12740500 is about 233.5583996181.

The spelling of 12740500 in words is "twelve million, seven hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 125 166 250 307 332 415 500 614 830 1228 1535 1660 2075 3070 4150 6140 7675 8300 10375 15350 20750 25481 30700 38375 41500 50962 76750 101924 127405 153500 254810 509620 637025 1274050 2548100 3185125 6370250 12740500