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13212500 = 22557151
BaseRepresentation
bin110010011001…
…101101010100
3220212021010212
4302121231110
511340300000
61151104552
7220206260
oct62315524
926767125
1013212500
117504824
124512158
132977b62
141a7d0a0
15125ec35
hexc99b54

13212500 has 72 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 4500000.

The previous prime is 13212491. The next prime is 13212523. The reversal of 13212500 is 521231.

It is a happy number.

13212500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87425 + ... + 87575.

It is an arithmetic number, because the mean of its divisors is an integer number (461776).

Almost surely, 213212500 is an apocalyptic number.

13212500 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 13212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

13212500 is an abundant number, since it is smaller than the sum of its proper divisors (20035372).

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

13212500 is an equidigital number, since it uses as much as digits as its factorization.

13212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13212500 is about 3634.9002737352. The cubic root of 13212500 is about 236.4077266684.

Adding to 13212500 its reverse (521231), we get a palindrome (13733731).

The spelling of 13212500 in words is "thirteen million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 151 175 250 302 350 500 604 625 700 755 875 1057 1250 1510 1750 2114 2500 3020 3125 3500 3775 4228 4375 5285 6250 7550 8750 10570 12500 15100 17500 18875 21140 21875 26425 37750 43750 52850 75500 87500 94375 105700 132125 188750 264250 377500 471875 528500 660625 943750 1321250 1887500 2642500 3303125 6606250 13212500