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13425100 = 22521323449
BaseRepresentation
bin110011001101…
…100111001100
3221021001202221
4303031213030
511414100400
61155425124
7222053143
oct63154714
927231687
1013425100
11763a527
1245b51a4
132a20860
141ad675a
1512a2c1a
hexccd9cc

13425100 has 72 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 4730880.

The previous prime is 13425089. The next prime is 13425103. The reversal of 13425100 is 152431.

It is not an unprimeable number, because it can be changed into a prime (13425103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29676 + ... + 30124.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 213425100 is an apocalyptic number.

13425100 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 13425100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

13425100 is an abundant number, since it is smaller than the sum of its proper divisors (19385300).

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

13425100 is a wasteful number, since it uses less digits than its factorization.

13425100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

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

The square root of 13425100 is about 3664.0278383222. The cubic root of 13425100 is about 237.6689840771.

Adding to 13425100 its reverse (152431), we get a palindrome (13577531).

The spelling of 13425100 in words is "thirteen million, four hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 449 460 575 598 650 898 1150 1196 1300 1495 1796 2245 2300 2990 4490 5837 5980 7475 8980 10327 11225 11674 14950 20654 22450 23348 29185 29900 41308 44900 51635 58370 103270 116740 134251 145925 206540 258175 268502 291850 516350 537004 583700 671255 1032700 1342510 2685020 3356275 6712550 13425100