Search a number
-
+
112024120 = 235132111021
BaseRepresentation
bin1101010110101…
…01101000111000
321210210102012111
412223111220320
5212134232440
615041022104
72530121635
oct653255070
9253712174
10112024120
115826441a
1231624934
131a293780
1410c4118c
159c7c4ea
hex6ad5a38

112024120 has 64 divisors (see below), whose sum is σ = 272996640. Its totient is φ = 41126400.

The previous prime is 112024097. The next prime is 112024141. The reversal of 112024120 is 21420211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 112024120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109210 + ... + 110230.

Almost surely, 2112024120 is an apocalyptic number.

112024120 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 112024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136498320).

112024120 is an abundant number, since it is smaller than the sum of its proper divisors (160972520).

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

112024120 is a wasteful number, since it uses less digits than its factorization.

112024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 112024120 is about 10584.1447457978. The cubic root of 112024120 is about 482.0630531082.

Adding to 112024120 its reverse (21420211), we get a palindrome (133444331).

The spelling of 112024120 in words is "one hundred twelve million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 211 260 422 520 844 1021 1055 1688 2042 2110 2743 4084 4220 5105 5486 8168 8440 10210 10972 13273 13715 20420 21944 26546 27430 40840 53092 54860 66365 106184 109720 132730 215431 265460 430862 530920 861724 1077155 1723448 2154310 2800603 4308620 5601206 8617240 11202412 14003015 22404824 28006030 56012060 112024120