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113202432 = 283277019
BaseRepresentation
bin1101011111101…
…01010100000000
321220000021112200
412233311110000
5212434434212
615122153200
72543130150
oct657652400
9256007480
10113202432
1158999732
1231ab2800
131a5b6bb5
141106a760
159e116dc
hex6bf5500

113202432 has 108 divisors (see below), whose sum is σ = 373070880. Its totient is φ = 32338944.

The previous prime is 113202431. The next prime is 113202433. The reversal of 113202432 is 234202311.

113202432 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (113202431) and next prime (113202433).

It is a super-2 number, since 2×1132024322 = 25629581221429248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113202431) 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 11 ways as a sum of consecutive naturals, for example, 12619 + ... + 19637.

It is an arithmetic number, because the mean of its divisors is an integer number (3454360).

Almost surely, 2113202432 is an apocalyptic number.

113202432 is a gapful number since it is divisible by the number (12) 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 113202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535440).

113202432 is an abundant number, since it is smaller than the sum of its proper divisors (259868448).

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

113202432 is an equidigital number, since it uses as much as digits as its factorization.

113202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113202432 is about 10639.6631525627. The cubic root of 113202432 is about 483.7473352817.

Adding to 113202432 its reverse (234202311), we get a palindrome (347404743).

The spelling of 113202432 in words is "one hundred thirteen million, two hundred two thousand, four hundred thirty-two".

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 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 7019 8064 14038 16128 21057 28076 42114 49133 56152 63171 84228 98266 112304 126342 147399 168456 196532 224608 252684 294798 336912 393064 442197 449216 505368 589596 673824 786128 884394 898432 1010736 1179192 1347648 1572256 1768788 1796864 2021472 2358384 2695296 3144512 3537576 4042944 4716768 5390592 6289024 7075152 8085888 9433536 12578048 14150304 16171776 18867072 28300608 37734144 56601216 113202432