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113831424 = 293273529
BaseRepresentation
bin1101100100011…
…10111000000000
321221012020100200
412302032320000
5213120101144
615143445200
72551360020
oct662167000
9257166320
10113831424
1159289263
1232156800
131a777295
1411191a80
159ed7c69
hex6c8ee00

113831424 has 120 divisors (see below), whose sum is σ = 375563760. Its totient is φ = 32514048.

The previous prime is 113831423. The next prime is 113831441. The reversal of 113831424 is 424138311.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113831423) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30492 + ... + 34020.

It is an arithmetic number, because the mean of its divisors is an integer number (3129698).

Almost surely, 2113831424 is an apocalyptic number.

113831424 is a gapful number since it is divisible by the number (14) 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 113831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187781880).

113831424 is an abundant number, since it is smaller than the sum of its proper divisors (261732336).

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

113831424 is an equidigital number, since it uses as much as digits as its factorization.

113831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3541 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 113831424 is about 10669.1810369869. The cubic root of 113831424 is about 484.6416369987.

Adding to 113831424 its reverse (424138311), we get a palindrome (537969735).

The spelling of 113831424 in words is "one hundred thirteen million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3529 3584 4032 4608 5376 7058 8064 10587 10752 14116 16128 21174 24703 28232 31761 32256 42348 49406 56464 63522 74109 84696 98812 112928 127044 148218 169392 197624 222327 225856 254088 296436 338784 395248 444654 451712 508176 592872 677568 790496 889308 903424 1016352 1185744 1355136 1580992 1778616 1806848 2032704 2371488 2710272 3161984 3557232 4065408 4742976 5420544 6323968 7114464 8130816 9485952 12647936 14228928 16261632 18971904 28457856 37943808 56915712 113831424