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113134932 = 223217401461
BaseRepresentation
bin1101011111001…
…00110101010100
321212212211221200
412233210311110
5212430304212
615120512500
72542426311
oct657446524
9255784850
10113134932
1158952a49
1231a7b730
131a592261
141104dd08
159deb6dc
hex6be4d54

113134932 has 72 divisors (see below), whose sum is σ = 304215912. Its totient is φ = 35328000.

The previous prime is 113134897. The next prime is 113134943. The reversal of 113134932 is 239431311.

It can be written as a sum of positive squares in 4 ways, for example, as 57244356 + 55890576 = 7566^2 + 7476^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113134896 and 113134905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245182 + ... + 245642.

It is an arithmetic number, because the mean of its divisors is an integer number (4225221).

Almost surely, 2113134932 is an apocalyptic number.

113134932 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 113134932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152107956).

113134932 is an abundant number, since it is smaller than the sum of its proper divisors (191080980).

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

113134932 is a wasteful number, since it uses less digits than its factorization.

113134932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 884 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 113134932 is about 10636.4905866550. The cubic root of 113134932 is about 483.6511670376.

It can be divided in two parts, 1131 and 34932, that added together give a palindrome (36063).

The spelling of 113134932 in words is "one hundred thirteen million, one hundred thirty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 401 461 612 802 922 1203 1383 1604 1844 2406 2766 3609 4149 4812 5532 6817 7218 7837 8298 13634 14436 15674 16596 20451 23511 27268 31348 40902 47022 61353 70533 81804 94044 122706 141066 184861 245412 282132 369722 554583 739444 1109166 1663749 2218332 3142637 3327498 6285274 6654996 9427911 12570548 18855822 28283733 37711644 56567466 113134932