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13425000 = 23355179
BaseRepresentation
bin110011001101…
…100101101000
3221021001122020
4303031211220
511414100000
61155424440
7222052641
oct63154550
927231566
1013425000
11763a446
1245b5120
132a207b4
141ad66c8
1512a2ba0
hexccd968

13425000 has 96 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 3560000.

The previous prime is 13424993. The next prime is 13425017. The reversal of 13425000 is 52431.

13425000 is digitally balanced in base 2 and base 4, because in such bases 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 (15).

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, 74911 + ... + 75089.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 213425000 is an apocalyptic number.

13425000 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 13425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

13425000 is an abundant number, since it is smaller than the sum of its proper divisors (28759800).

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

13425000 is an equidigital number, since it uses as much as digits as its factorization.

13425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13425000 is about 3664.0141921123. The cubic root of 13425000 is about 237.6683939646.

Adding to 13425000 its reverse (52431), we get a palindrome (13477431).

The spelling of 13425000 in words is "thirteen million, four hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 179 200 250 300 358 375 500 537 600 625 716 750 895 1000 1074 1250 1432 1500 1790 1875 2148 2500 2685 3000 3125 3580 3750 4296 4475 5000 5370 6250 7160 7500 8950 9375 10740 12500 13425 15000 17900 18750 21480 22375 25000 26850 35800 37500 44750 53700 67125 75000 89500 107400 111875 134250 179000 223750 268500 335625 447500 537000 559375 671250 895000 1118750 1342500 1678125 2237500 2685000 3356250 4475000 6712500 13425000