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12641500 = 2253131193
BaseRepresentation
bin110000001110…
…010011011100
3212210020212201
4300032103130
511214012000
61130541244
7212310454
oct60162334
925706781
1012641500
117154823
124297824
132807ca1
141970d64
15119a96a
hexc0e4dc

12641500 has 48 divisors (see below), whose sum is σ = 27963936. Its totient is φ = 4992000.

The previous prime is 12641443. The next prime is 12641509. The reversal of 12641500 is 514621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641509) 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, 65404 + ... + 65596.

It is an arithmetic number, because the mean of its divisors is an integer number (582582).

Almost surely, 212641500 is an apocalyptic number.

12641500 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 12641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981968).

12641500 is an abundant number, since it is smaller than the sum of its proper divisors (15322436).

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

12641500 is a wasteful number, since it uses less digits than its factorization.

12641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

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

The square root of 12641500 is about 3555.4887146495. The cubic root of 12641500 is about 232.9518710417.

The spelling of 12641500 in words is "twelve million, six hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 131 193 250 262 386 500 524 655 772 965 1310 1930 2620 3275 3860 4825 6550 9650 13100 16375 19300 24125 25283 32750 48250 50566 65500 96500 101132 126415 252830 505660 632075 1264150 2528300 3160375 6320750 12641500