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13099320 = 2334513311
BaseRepresentation
bin110001111110…
…000100111000
3220122111220000
4301332010320
511323134240
61144433000
7216225303
oct61760470
926574800
1013099320
117437793
124478760
1329384a0
141a4db3a
15123b430
hexc7e138

13099320 has 160 divisors (see below), whose sum is σ = 47567520. Its totient is φ = 3214080.

The previous prime is 13099319. The next prime is 13099337. The reversal of 13099320 is 2399031.

13099320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41965 + ... + 42275.

It is an arithmetic number, because the mean of its divisors is an integer number (297297).

Almost surely, 213099320 is an apocalyptic number.

13099320 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 13099320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783760).

13099320 is an abundant number, since it is smaller than the sum of its proper divisors (34468200).

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

13099320 is a wasteful number, since it uses less digits than its factorization.

13099320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 13099320 is about 3619.2982745278. The cubic root of 13099320 is about 235.7307568183.

The spelling of 13099320 in words is "thirteen million, ninety-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 311 312 324 351 360 390 405 468 520 540 585 622 648 702 780 810 933 936 1053 1080 1170 1244 1404 1555 1560 1620 1755 1866 2106 2340 2488 2799 2808 3110 3240 3510 3732 4043 4212 4665 4680 5265 5598 6220 7020 7464 8086 8397 8424 9330 10530 11196 12129 12440 13995 14040 16172 16794 18660 20215 21060 22392 24258 25191 27990 32344 33588 36387 37320 40430 41985 42120 48516 50382 55980 60645 67176 72774 80860 83970 97032 100764 109161 111960 121290 125955 145548 161720 167940 181935 201528 218322 242580 251910 291096 327483 335880 363870 436644 485160 503820 545805 654966 727740 873288 1007640 1091610 1309932 1455480 1637415 2183220 2619864 3274830 4366440 6549660 13099320