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13094080 = 265172983
BaseRepresentation
bin110001111100…
…110011000000
3220122020200221
4301330303000
511323002310
61144352424
7216204106
oct61746300
926566627
1013094080
11743385a
124475714
132935c9c
141a4bc76
151239ada
hexc7ccc0

13094080 has 112 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 4702208.

The previous prime is 13094069. The next prime is 13094087. The reversal of 13094080 is 8049031.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13094087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157719 + ... + 157801.

It is an arithmetic number, because the mean of its divisors is an integer number (308610).

Almost surely, 213094080 is an apocalyptic number.

13094080 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 13094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

13094080 is an abundant number, since it is smaller than the sum of its proper divisors (21470240).

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

13094080 is a wasteful number, since it uses less digits than its factorization.

13094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 13094080 is about 3618.5743048886. The cubic root of 13094080 is about 235.6993202270.

It can be divided in two parts, 1 and 3094080, that added together give a square (3094081 = 17592).

The spelling of 13094080 in words is "thirteen million, ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 83 85 116 136 145 160 166 170 232 272 290 320 332 340 415 464 493 544 580 664 680 830 928 986 1088 1160 1328 1360 1411 1660 1856 1972 2320 2407 2465 2656 2720 2822 3320 3944 4640 4814 4930 5312 5440 5644 6640 7055 7888 9280 9628 9860 11288 12035 13280 14110 15776 19256 19720 22576 24070 26560 28220 31552 38512 39440 40919 45152 48140 56440 77024 78880 81838 90304 96280 112880 154048 157760 163676 192560 204595 225760 327352 385120 409190 451520 654704 770240 818380 1309408 1636760 2618816 3273520 6547040 13094080