Search a number
-
+
113032020 = 223513913553
BaseRepresentation
bin1101011110010…
…11101101010100
321212200121210010
412233023231110
5212414011040
615114400220
72541520263
oct657135524
9255617703
10113032020
11588926a2
1231a30070
131a55746a
14110245da
159dcae80
hex6bcbb54

113032020 has 48 divisors (see below), whose sum is σ = 318790080. Its totient is φ = 29922816.

The previous prime is 113032013. The next prime is 113032027. The reversal of 113032020 is 20230311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113032013) and next prime (113032027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113031987 and 113032005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564 + ... + 15116.

It is an arithmetic number, because the mean of its divisors is an integer number (6641460).

Almost surely, 2113032020 is an apocalyptic number.

113032020 is a gapful number since it is divisible by the number (10) 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 113032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159395040).

113032020 is an abundant number, since it is smaller than the sum of its proper divisors (205758060).

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

113032020 is a wasteful number, since it uses less digits than its factorization.

113032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13704 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113032020 is about 10631.6518001673. The cubic root of 113032020 is about 483.5044731514.

Adding to 113032020 its reverse (20230311), we get a palindrome (133262331).

The spelling of 113032020 in words is "one hundred thirteen million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 13553 27106 40659 54212 67765 81318 135530 162636 203295 271060 406590 813180 1883867 3767734 5651601 7535468 9419335 11303202 18838670 22606404 28258005 37677340 56516010 113032020