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13366120 = 2351943409
BaseRepresentation
bin110010111111…
…001101101000
3221011001212111
4302333031220
511410203440
61154252104
7221416165
oct62771550
927131774
1013366120
1175aa189
124587034
1329cca61
141abd06c
1512904ea
hexcbf368

13366120 has 64 divisors (see below), whose sum is σ = 32472000. Its totient is φ = 4935168.

The previous prime is 13366079. The next prime is 13366121. The reversal of 13366120 is 2166331.

It is a junction number, because it is equal to n+sod(n) for n = 13366091 and 13366100.

It is not an unprimeable number, because it can be changed into a prime (13366121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32476 + ... + 32884.

It is an arithmetic number, because the mean of its divisors is an integer number (507375).

Almost surely, 213366120 is an apocalyptic number.

13366120 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 13366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236000).

13366120 is an abundant number, since it is smaller than the sum of its proper divisors (19105880).

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

13366120 is a wasteful number, since it uses less digits than its factorization.

13366120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 13366120 is about 3655.9704593993. The cubic root of 13366120 is about 237.3204256611.

The spelling of 13366120 in words is "thirteen million, three hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 409 430 760 817 818 860 1634 1636 1720 2045 3268 3272 4085 4090 6536 7771 8170 8180 15542 16340 16360 17587 31084 32680 35174 38855 62168 70348 77710 87935 140696 155420 175870 310840 334153 351740 668306 703480 1336612 1670765 2673224 3341530 6683060 13366120