Search a number
-
+
13275920 = 2457151157
BaseRepresentation
bin110010101001…
…001100010000
3220222111010202
4302221030100
511344312140
61152314332
7220562210
oct62511420
926874122
1013275920
117548439
1245429a8
13299a998
141a98240
151273915
hexca9310

13275920 has 80 divisors (see below), whose sum is σ = 35735808. Its totient is φ = 4492800.

The previous prime is 13275901. The next prime is 13275931. The reversal of 13275920 is 2957231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84482 + ... + 84638.

Almost surely, 213275920 is an apocalyptic number.

13275920 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 13275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867904).

13275920 is an abundant number, since it is smaller than the sum of its proper divisors (22459888).

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

13275920 is a wasteful number, since it uses less digits than its factorization.

13275920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 13275920 is about 3643.6135909287. The cubic root of 13275920 is about 236.7853754360.

The spelling of 13275920 in words is "thirteen million, two hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 157 280 302 314 560 604 628 755 785 1057 1099 1208 1256 1510 1570 2114 2198 2416 2512 3020 3140 4228 4396 5285 5495 6040 6280 8456 8792 10570 10990 12080 12560 16912 17584 21140 21980 23707 42280 43960 47414 84560 87920 94828 118535 165949 189656 237070 331898 379312 474140 663796 829745 948280 1327592 1659490 1896560 2655184 3318980 6637960 13275920