Search a number
-
+
1496112 = 24371439
BaseRepresentation
bin101101101010000110000
32211000021120
411231100300
5340333422
652022240
715500562
oct5552060
92730246
101496112
11932062
12601980
13404c97
142ad332
151e845c
hex16d430

1496112 has 40 divisors (see below), whose sum is σ = 3928320. Its totient is φ = 490560.

The previous prime is 1496111. The next prime is 1496129. The reversal of 1496112 is 2116941.

It is a super-2 number, since 2×14961122 = 4476702233088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1496111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3189 + ... + 3627.

It is an arithmetic number, because the mean of its divisors is an integer number (98208).

21496112 is an apocalyptic number.

1496112 is a gapful number since it is divisible by the number (12) 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 1496112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964160).

1496112 is an abundant number, since it is smaller than the sum of its proper divisors (2432208).

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

1496112 is a wasteful number, since it uses less digits than its factorization.

1496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1496112 is about 1223.1565721526. The cubic root of 1496112 is about 114.3724353691.

The spelling of 1496112 in words is "one million, four hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 439 568 852 878 1136 1317 1704 1756 2634 3408 3512 5268 7024 10536 21072 31169 62338 93507 124676 187014 249352 374028 498704 748056 1496112