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13230080 = 21351719
BaseRepresentation
bin110010011110…
…000000000000
3220220011020222
4302132000000
511341330310
61151322212
7220311443
oct62360000
926804228
1013230080
117516a56
124520368
132982b66
141a8565a
151265055
hexc9e000

13230080 has 112 divisors (see below), whose sum is σ = 35387280. Its totient is φ = 4718592.

The previous prime is 13230079. The next prime is 13230109. The reversal of 13230080 is 8003231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696311 + ... + 696329.

Almost surely, 213230080 is an apocalyptic number.

13230080 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 13230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693640).

13230080 is an abundant number, since it is smaller than the sum of its proper divisors (22157200).

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

13230080 is an equidigital number, since it uses as much as digits as its factorization.

13230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

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

The square root of 13230080 is about 3637.3176930260. The cubic root of 13230080 is about 236.5125316109.

The spelling of 13230080 in words is "thirteen million, two hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 256 272 304 320 323 340 380 512 544 608 640 646 680 760 1024 1088 1216 1280 1292 1360 1520 1615 2048 2176 2432 2560 2584 2720 3040 3230 4096 4352 4864 5120 5168 5440 6080 6460 8192 8704 9728 10240 10336 10880 12160 12920 17408 19456 20480 20672 21760 24320 25840 34816 38912 40960 41344 43520 48640 51680 69632 77824 82688 87040 97280 103360 139264 155648 165376 174080 194560 206720 330752 348160 389120 413440 661504 696320 778240 826880 1323008 1653760 2646016 3307520 6615040 13230080