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13373120 = 26523279
BaseRepresentation
bin110011000000…
…111011000000
3221011102110202
4303000323000
511410414440
61154344332
7221445455
oct63007300
927142422
1013373120
117604472
12458b0a8
132a02cb7
141ac182c
151292615
hexcc0ec0

13373120 has 84 divisors (see below), whose sum is σ = 33710880. Its totient is φ = 5051904.

The previous prime is 13373111. The next prime is 13373123. The reversal of 13373120 is 2137331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13373092 and 13373101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13373123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169241 + ... + 169319.

It is an arithmetic number, because the mean of its divisors is an integer number (401320).

Almost surely, 213373120 is an apocalyptic number.

13373120 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 13373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855440).

13373120 is an abundant number, since it is smaller than the sum of its proper divisors (20337760).

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

13373120 is an equidigital number, since it uses as much as digits as its factorization.

13373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 13373120 is about 3656.9276722407. The cubic root of 13373120 is about 237.3618476310.

The spelling of 13373120 in words is "thirteen million, three hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 79 80 92 115 158 160 184 230 316 320 368 395 460 529 632 736 790 920 1058 1264 1472 1580 1817 1840 2116 2528 2645 3160 3634 3680 4232 5056 5290 6320 7268 7360 8464 9085 10580 12640 14536 16928 18170 21160 25280 29072 33856 36340 41791 42320 58144 72680 83582 84640 116288 145360 167164 169280 208955 290720 334328 417910 581440 668656 835820 1337312 1671640 2674624 3343280 6686560 13373120