Search a number
-
+
13164200 = 235279403
BaseRepresentation
bin110010001101…
…111010101000
3220202210212222
4302031322220
511332223300
61150053212
7216615410
oct62157250
926683788
1013164200
117481505
1244aa208
13295bb8a
141a69640
151250785
hexc8dea8

13164200 has 48 divisors (see below), whose sum is σ = 34982880. Its totient is φ = 4512960.

The previous prime is 13164191. The next prime is 13164233. The reversal of 13164200 is 246131.

13164200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3302 + ... + 6101.

It is an arithmetic number, because the mean of its divisors is an integer number (728810).

Almost surely, 213164200 is an apocalyptic number.

13164200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13164200 is an abundant number, since it is smaller than the sum of its proper divisors (21818680).

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

13164200 is a wasteful number, since it uses less digits than its factorization.

13164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13164200 is about 3628.2502670020. The cubic root of 13164200 is about 236.1193019329.

The spelling of 13164200 in words is "thirteen million, one hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 9403 18806 37612 47015 65821 75224 94030 131642 188060 235075 263284 329105 376120 470150 526568 658210 940300 1316420 1645525 1880600 2632840 3291050 6582100 13164200