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13117410 = 2335192557
BaseRepresentation
bin110010000010…
…011111100010
3220200102201000
4302002133202
511324224120
61145052430
7216332115
oct62023742
926612630
1013117410
11744a339
124487116
1329437a7
141a5657c
151241990
hexc827e2

13117410 has 64 divisors (see below), whose sum is σ = 36835200. Its totient is φ = 3312576.

The previous prime is 13117409. The next prime is 13117427. The reversal of 13117410 is 1471131.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3852 + ... + 6408.

It is an arithmetic number, because the mean of its divisors is an integer number (575550).

Almost surely, 213117410 is an apocalyptic number.

13117410 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 13117410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417600).

13117410 is an abundant number, since it is smaller than the sum of its proper divisors (23717790).

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

13117410 is a wasteful number, since it uses less digits than its factorization.

13117410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 13117410 is about 3621.7965155431. The cubic root of 13117410 is about 235.8392206643.

Adding to 13117410 its reverse (1471131), we get a palindrome (14588541).

The spelling of 13117410 in words is "thirteen million, one hundred seventeen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2557 2565 5114 5130 7671 12785 15342 23013 25570 38355 46026 48583 69039 76710 97166 115065 138078 145749 230130 242915 291498 345195 437247 485830 690390 728745 874494 1311741 1457490 2186235 2623482 4372470 6558705 13117410