Search a number
-
+
113041376 = 2573173223
BaseRepresentation
bin1101011110011…
…01111111100000
321212201002121122
412233031333200
5212414311001
615114511412
72541556460
oct657157740
9255632548
10113041376
1158899728
1231a35568
131a55b7b6
1411027ba0
159dcdb1b
hex6bcdfe0

113041376 has 96 divisors (see below), whose sum is σ = 267337728. Its totient is φ = 46033920.

The previous prime is 113041363. The next prime is 113041403. The reversal of 113041376 is 673140311.

It is a super-3 number, since 3×1130413763 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506801 + ... + 507023.

It is an arithmetic number, because the mean of its divisors is an integer number (2784768).

Almost surely, 2113041376 is an apocalyptic number.

113041376 is a gapful number since it is divisible by the number (16) 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 113041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133668864).

113041376 is an abundant number, since it is smaller than the sum of its proper divisors (154296352).

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

113041376 is a wasteful number, since it uses less digits than its factorization.

113041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 113041376 is about 10632.0917979483. The cubic root of 113041376 is about 483.5178131561.

Adding to 113041376 its reverse (673140311), we get a palindrome (786181687).

The spelling of 113041376 in words is "one hundred thirteen million, forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 73 112 124 146 217 223 224 248 292 434 446 496 511 584 868 892 992 1022 1168 1561 1736 1784 2044 2263 2336 3122 3472 3568 4088 4526 6244 6913 6944 7136 8176 9052 12488 13826 15841 16279 16352 18104 24976 27652 31682 32558 36208 48391 49952 55304 63364 65116 72416 96782 110608 113953 126728 130232 193564 221216 227906 253456 260464 387128 455812 504649 506912 520928 774256 911624 1009298 1548512 1823248 2018596 3532543 3646496 4037192 7065086 8074384 14130172 16148768 28260344 56520688 113041376