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13189700 = 2252413217
BaseRepresentation
bin110010010100…
…001001000100
3220211002212102
4302110021010
511334032300
61150411232
7220052636
oct62241104
926732772
1013189700
117499687
124500b18
13296a674
141a74a56
1512580d5
hexc94244

13189700 has 36 divisors (see below), whose sum is σ = 29328852. Its totient is φ = 5145600.

The previous prime is 13189681. The next prime is 13189703. The reversal of 13189700 is 798131.

It can be written as a sum of positive squares in 6 ways, for example, as 473344 + 12716356 = 688^2 + 3566^2 .

It is not an unprimeable number, because it can be changed into a prime (13189703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2492 + ... + 5708.

Almost surely, 213189700 is an apocalyptic number.

13189700 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 13189700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664426).

13189700 is an abundant number, since it is smaller than the sum of its proper divisors (16139152).

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

13189700 is a wasteful number, since it uses less digits than its factorization.

13189700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 13189700 is about 3631.7626574434. The cubic root of 13189700 is about 236.2716636070.

The spelling of 13189700 in words is "thirteen million, one hundred eighty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 3217 4100 6434 12868 16085 32170 64340 80425 131897 160850 263794 321700 527588 659485 1318970 2637940 3297425 6594850 13189700