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13114350 = 23252151193
BaseRepresentation
bin110010000001…
…101111101110
3220200021111200
4302001233232
511324124400
61145030330
7216320154
oct62015756
926607450
1013114350
117448007
1244853a6
132942292
141a553d4
151240b00
hexc81bee

13114350 has 72 divisors (see below), whose sum is σ = 35650992. Its totient is φ = 3456000.

The previous prime is 13114349. The next prime is 13114369. The reversal of 13114350 is 5341131.

13114350 is a `hidden beast` number, since 1 + 311 + 4 + 350 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 67854 + ... + 68046.

Almost surely, 213114350 is an apocalyptic number.

13114350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825496).

13114350 is an abundant number, since it is smaller than the sum of its proper divisors (22536642).

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

13114350 is a wasteful number, since it uses less digits than its factorization.

13114350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13114350 is about 3621.3740486175. The cubic root of 13114350 is about 235.8208805566.

Adding to 13114350 its reverse (5341131), we get a palindrome (18455481).

The spelling of 13114350 in words is "thirteen million, one hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 151 193 225 302 386 450 453 579 755 906 965 1158 1359 1510 1737 1930 2265 2718 2895 3474 3775 4530 4825 5790 6795 7550 8685 9650 11325 13590 14475 17370 22650 28950 29143 33975 43425 58286 67950 86850 87429 145715 174858 262287 291430 437145 524574 728575 874290 1311435 1457150 2185725 2622870 4371450 6557175 13114350