Search a number
-
+
13389360 = 2435471187
BaseRepresentation
bin110011000100…
…111000110000
3221012020202020
4303010320300
511411424420
61154551440
7221544015
oct63047060
927166666
1013389360
117615696
124598580
132a0a4ca
141ac770c
151297340
hexcc4e30

13389360 has 80 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 3491584.

The previous prime is 13389331. The next prime is 13389361. The reversal of 13389360 is 6398331.

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

It is a super-2 number, since 2×133893602 = 358549922419200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13389361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10687 + ... + 11873.

Almost surely, 213389360 is an apocalyptic number.

13389360 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 13389360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

13389360 is an abundant number, since it is smaller than the sum of its proper divisors (29036496).

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

13389360 is a wasteful number, since it uses less digits than its factorization.

13389360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13389360 is about 3659.1474416864. The cubic root of 13389360 is about 237.4578909647.

The spelling of 13389360 in words is "thirteen million, three hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1187 1410 1880 2256 2374 2820 3561 3760 4748 5640 5935 7122 9496 11280 11870 14244 17805 18992 23740 28488 35610 47480 55789 56976 71220 94960 111578 142440 167367 223156 278945 284880 334734 446312 557890 669468 836835 892624 1115780 1338936 1673670 2231560 2677872 3347340 4463120 6694680 13389360