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13092120 = 2332541887
BaseRepresentation
bin110001111100…
…010100011000
3220122011000100
4301330110120
511322421440
61144335400
7216165306
oct61742430
926564010
1013092120
117432338
124474560
132935122
141a4b276
151239230
hexc7c518

13092120 has 96 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 3402240.

The previous prime is 13092109. The next prime is 13092127. The reversal of 13092120 is 2129031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13092093 and 13092102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13092127) 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 23 ways as a sum of consecutive naturals, for example, 14317 + ... + 15203.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 213092120 is an apocalyptic number.

13092120 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 13092120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

13092120 is an abundant number, since it is smaller than the sum of its proper divisors (30544200).

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

13092120 is a wasteful number, since it uses less digits than its factorization.

13092120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13092120 is about 3618.3034698599. The cubic root of 13092120 is about 235.6875593468.

The spelling of 13092120 in words is "thirteen million, ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 887 984 1230 1476 1640 1774 1845 2460 2661 2952 3548 3690 4435 4920 5322 7096 7380 7983 8870 10644 13305 14760 15966 17740 21288 26610 31932 35480 36367 39915 53220 63864 72734 79830 106440 109101 145468 159660 181835 218202 290936 319320 327303 363670 436404 545505 654606 727340 872808 1091010 1309212 1454680 1636515 2182020 2618424 3273030 4364040 6546060 13092120