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112362928 = 2417439941
BaseRepresentation
bin1101011001010…
…00010110110000
321211102121221221
412230220112300
5212231103203
615052154424
72533032466
oct654502660
9254377857
10112362928
1158475a27
1231768a14
131a381a52
1410ccc836
159ce7abd
hex6b285b0

112362928 has 40 divisors (see below), whose sum is σ = 231279840. Its totient is φ = 52700160.

The previous prime is 112362883. The next prime is 112362937. The reversal of 112362928 is 829263211.

It is a super-3 number, since 3×1123629283 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 112362893 and 112362902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118938 + ... + 119878.

It is an arithmetic number, because the mean of its divisors is an integer number (5781996).

Almost surely, 2112362928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112362928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115639920).

112362928 is an abundant number, since it is smaller than the sum of its proper divisors (118916912).

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

112362928 is a wasteful number, since it uses less digits than its factorization.

112362928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 112362928 is about 10600.1381123078. The cubic root of 112362928 is about 482.5485510488.

The spelling of 112362928 in words is "one hundred twelve million, three hundred sixty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 439 878 941 1756 1882 3512 3764 7024 7463 7528 14926 15056 15997 29852 31994 59704 63988 119408 127976 255952 413099 826198 1652396 3304792 6609584 7022683 14045366 28090732 56181464 112362928