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113416350 = 23521779563
BaseRepresentation
bin1101100001010…
…01100010011110
321220102010222120
412300221202132
5213013310400
615130523410
72545010625
oct660514236
9256363876
10113416350
1159025423
1231b96566
131a660388
14110c46bc
159e54ca0
hex6c2989e

113416350 has 96 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 28055040.

The previous prime is 113416313. The next prime is 113416351. The reversal of 113416350 is 53614311.

It is a self number, because there is not a number n which added to its sum of digits gives 113416350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113416351) 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 47 ways as a sum of consecutive naturals, for example, 201169 + ... + 201731.

It is an arithmetic number, because the mean of its divisors is an integer number (3147120).

Almost surely, 2113416350 is an apocalyptic number.

113416350 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 113416350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

113416350 is an abundant number, since it is smaller than the sum of its proper divisors (188707170).

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

113416350 is a wasteful number, since it uses less digits than its factorization.

113416350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 113416350 is about 10649.7112636916. The cubic root of 113416350 is about 484.0518550866.

The spelling of 113416350 in words is "one hundred thirteen million, four hundred sixteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 79 85 102 150 158 170 237 255 395 425 474 510 563 790 850 1126 1185 1275 1343 1689 1975 2370 2550 2686 2815 3378 3950 4029 5630 5925 6715 8058 8445 9571 11850 13430 14075 16890 19142 20145 28150 28713 33575 40290 42225 44477 47855 57426 67150 84450 88954 95710 100725 133431 143565 201450 222385 239275 266862 287130 444770 478550 667155 717825 756109 1111925 1334310 1435650 1512218 2223850 2268327 3335775 3780545 4536654 6671550 7561090 11341635 18902725 22683270 37805450 56708175 113416350