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112132410 = 23513317907
BaseRepresentation
bin1101010111100…
…00000100111010
321210222220202020
412223300010322
5212201214120
615043215310
72531052435
oct653600472
9253886666
10112132410
1158328815
1231677536
131a300b50
1410c6c81c
159c9e640
hex6af013a

112132410 has 64 divisors (see below), whose sum is σ = 291053952. Its totient is φ = 27484416.

The previous prime is 112132403. The next prime is 112132411. The reversal of 112132410 is 14231211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112132410.

It is not an unprimeable number, because it can be changed into a prime (112132411) 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 31 ways as a sum of consecutive naturals, for example, 123177 + ... + 124083.

It is an arithmetic number, because the mean of its divisors is an integer number (4547718).

Almost surely, 2112132410 is an apocalyptic number.

112132410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145526976).

112132410 is an abundant number, since it is smaller than the sum of its proper divisors (178921542).

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

112132410 is a wasteful number, since it uses less digits than its factorization.

112132410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 112132410 is about 10589.2591808870. The cubic root of 112132410 is about 482.2183345368.

Adding to 112132410 its reverse (14231211), we get a palindrome (126363621).

The spelling of 112132410 in words is "one hundred twelve million, one hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 317 390 634 907 951 1585 1814 1902 2721 3170 4121 4535 4755 5442 8242 9070 9510 11791 12363 13605 20605 23582 24726 27210 35373 41210 58955 61815 70746 117910 123630 176865 287519 353730 575038 862557 1437595 1725114 2875190 3737747 4312785 7475494 8625570 11213241 18688735 22426482 37377470 56066205 112132410