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13412500 = 22552937
BaseRepresentation
bin110011001010…
…100010010100
3221020102111021
4303022202110
511413200000
61155250524
7222001333
oct63124224
927212437
1013412500
117631012
1245a9a44
132a17bba
141ad1d1a
15129e11a
hexcca894

13412500 has 72 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 5040000.

The previous prime is 13412489. The next prime is 13412501. The reversal of 13412500 is 521431.

It can be written as a sum of positive squares in 12 ways, for example, as 12404484 + 1008016 = 3522^2 + 1004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362482 + ... + 362518.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 213412500 is an apocalyptic number.

13412500 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 13412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

13412500 is an abundant number, since it is smaller than the sum of its proper divisors (17757380).

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

13412500 is an equidigital number, since it uses as much as digits as its factorization.

13412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13412500 is about 3662.3080154460. The cubic root of 13412500 is about 237.5946068149.

Adding to 13412500 its reverse (521431), we get a palindrome (13933931).

The spelling of 13412500 in words is "thirteen million, four hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 125 145 148 185 250 290 370 500 580 625 725 740 925 1073 1250 1450 1850 2146 2500 2900 3125 3625 3700 4292 4625 5365 6250 7250 9250 10730 12500 14500 18125 18500 21460 23125 26825 36250 46250 53650 72500 90625 92500 107300 115625 134125 181250 231250 268250 362500 462500 536500 670625 1341250 2682500 3353125 6706250 13412500