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70112 = 257313
BaseRepresentation
bin10001000111100000
310120011202
4101013200
54220422
61300332
7411260
oct210740
9116152
1070112
1148749
12346a8
1325bb3
141b7a0
1515b92
hex111e0

70112 has 24 divisors (see below), whose sum is σ = 158256. Its totient is φ = 29952.

The previous prime is 70111. The next prime is 70117. The reversal of 70112 is 21107.

70112 = T93 + T94 + ... + T106.

It is a junction number, because it is equal to n+sod(n) for n = 70093 and 70102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (6594).

270112 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 70112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79128).

70112 is an abundant number, since it is smaller than the sum of its proper divisors (88144).

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

70112 is a wasteful number, since it uses less digits than its factorization.

70112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 70112 is about 264.7867066150. The cubic root of 70112 is about 41.2348214740.

Adding to 70112 its reverse (21107), we get a palindrome (91219).

The spelling of 70112 in words is "seventy thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 313 626 1252 2191 2504 4382 5008 8764 10016 17528 35056 70112