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470112 = 2535983
BaseRepresentation
bin1110010110001100000
3212212212120
41302301200
5110020422
614024240
73665406
oct1626140
9785776
10470112
112a1225
121a8080
13135c96
14c3476
159445c
hex72c60

470112 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 152192.

The previous prime is 470089. The next prime is 470131. The reversal of 470112 is 211074.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 470091 and 470100.

It is a congruent number.

It is an unprimeable number.

470112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5623 + ... + 5705.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2470112 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 470112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

470112 is an abundant number, since it is smaller than the sum of its proper divisors (799968).

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

470112 is a wasteful number, since it uses less digits than its factorization.

470112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 470112 is about 685.6471395696. The cubic root of 470112 is about 77.7559763536.

Adding to 470112 its reverse (211074), we get a palindrome (681186).

The spelling of 470112 in words is "four hundred seventy thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 83 96 118 166 177 236 249 332 354 472 498 664 708 944 996 1328 1416 1888 1992 2656 2832 3984 4897 5664 7968 9794 14691 19588 29382 39176 58764 78352 117528 156704 235056 470112