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13120254 = 2327313359
BaseRepresentation
bin110010000011…
…001011111110
3220200120121100
4302003023332
511324322004
61145113530
7216343320
oct62031376
926616540
1013120254
117451494
1244888a6
132944b84
141a57610
151242739
hexc832fe

13120254 has 48 divisors (see below), whose sum is σ = 33546240. Its totient is φ = 3626640.

The previous prime is 13120253. The next prime is 13120271. The reversal of 13120254 is 45202131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227 + ... + 5585.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 213120254 is an apocalyptic number.

13120254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773120).

13120254 is an abundant number, since it is smaller than the sum of its proper divisors (20425986).

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

13120254 is a wasteful number, since it uses less digits than its factorization.

13120254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13120254 is about 3622.1891170948. The cubic root of 13120254 is about 235.8562636191.

Adding to 13120254 its reverse (45202131), we get a palindrome (58322385).

The spelling of 13120254 in words is "thirteen million, one hundred twenty thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3359 3906 6718 10077 20154 23513 30231 47026 60462 70539 104129 141078 208258 211617 312387 423234 624774 728903 937161 1457806 1874322 2186709 4373418 6560127 13120254