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13813092 = 22371579
BaseRepresentation
bin110100101100…
…010101100100
3221222210000000
4310230111210
512014004332
61212021300
7225260256
oct64542544
927883000
1013813092
117884a87
124761830
132b28337
141b97cd6
15132cb7c
hexd2c564

13813092 has 48 divisors (see below), whose sum is σ = 36276800. Its totient is φ = 4601448.

The previous prime is 13813081. The next prime is 13813097. The reversal of 13813092 is 29031831.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13813097) 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 15 ways as a sum of consecutive naturals, for example, 7959 + ... + 9537.

Almost surely, 213813092 is an apocalyptic number.

13813092 is a gapful number since it is divisible by the number (12) 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 13813092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138400).

13813092 is an abundant number, since it is smaller than the sum of its proper divisors (22463708).

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

13813092 is an equidigital number, since it uses as much as digits as its factorization.

13813092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13813092 is about 3716.5968304351. The cubic root of 13813092 is about 239.9368583895.

The spelling of 13813092 in words is "thirteen million, eight hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1579 2187 2916 3158 4374 4737 6316 8748 9474 14211 18948 28422 42633 56844 85266 127899 170532 255798 383697 511596 767394 1151091 1534788 2302182 3453273 4604364 6906546 13813092