Search a number
-
+
13466320 = 2457139173
BaseRepresentation
bin110011010111…
…101011010000
3221100011022121
4303113223100
511421410240
61200344024
7222314260
oct63275320
927304277
1013466320
11766849a
124615014
132a3654a
141b077a0
1512b004a
hexcd7ad0

13466320 has 80 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 4557312.

The previous prime is 13466309. The next prime is 13466347. The reversal of 13466320 is 2366431.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77754 + ... + 77926.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 213466320 is an apocalyptic number.

13466320 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 13466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

13466320 is an abundant number, since it is smaller than the sum of its proper divisors (22781360).

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

13466320 is a wasteful number, since it uses less digits than its factorization.

13466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 13466320 is about 3669.6484845282. The cubic root of 13466320 is about 237.9119793145.

The spelling of 13466320 in words is "thirteen million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 173 278 280 346 556 560 692 695 865 973 1112 1211 1384 1390 1730 1946 2224 2422 2768 2780 3460 3892 4844 4865 5560 6055 6920 7784 9688 9730 11120 12110 13840 15568 19376 19460 24047 24220 38920 48094 48440 77840 96188 96880 120235 168329 192376 240470 336658 384752 480940 673316 841645 961880 1346632 1683290 1923760 2693264 3366580 6733160 13466320