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1400112 = 24337463
BaseRepresentation
bin101010101110100110000
32122010121000
411111310300
5324300422
650002000
714620650
oct5256460
92563530
101400112
11876a1a
12576300
133a038c
14286360
151c9cac
hex155d30

1400112 has 80 divisors (see below), whose sum is σ = 4602880. Its totient is φ = 399168.

The previous prime is 1400107. The next prime is 1400131. The reversal of 1400112 is 2110041.

It is a happy number.

It is a super-2 number, since 2×14001122 = 3920627225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1400094 and 1400103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2793 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (57536).

21400112 is an apocalyptic number.

1400112 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 1400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301440).

1400112 is an abundant number, since it is smaller than the sum of its proper divisors (3202768).

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

1400112 is a wasteful number, since it uses less digits than its factorization.

1400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1400112 is about 1183.2632843117. The cubic root of 1400112 is about 111.8718772991.

Adding to 1400112 its reverse (2110041), we get a palindrome (3510153).

The spelling of 1400112 in words is "one million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 463 504 756 926 1008 1389 1512 1852 2778 3024 3241 3704 4167 5556 6482 7408 8334 9723 11112 12501 12964 16668 19446 22224 25002 25928 29169 33336 38892 50004 51856 58338 66672 77784 87507 100008 116676 155568 175014 200016 233352 350028 466704 700056 1400112