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1120416 = 253111061
BaseRepresentation
bin100010001100010100000
32002220220220
410101202200
5241323131
640003040
712344343
oct4214240
92086826
101120416
116a5870
12460480
13302c8b
1421245a
15171e96
hex1118a0

1120416 has 48 divisors (see below), whose sum is σ = 3211488. Its totient is φ = 339200.

The previous prime is 1120391. The next prime is 1120423. The reversal of 1120416 is 6140211.

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

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1120395 and 1120404.

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, 526 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (66906).

21120416 is an apocalyptic number.

1120416 is a gapful number since it is divisible by the number (16) 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 1120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605744).

1120416 is an abundant number, since it is smaller than the sum of its proper divisors (2091072).

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

1120416 is a wasteful number, since it uses less digits than its factorization.

1120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1120416 is about 1058.4970477049. The cubic root of 1120416 is about 103.8627380499.

Adding to 1120416 its reverse (6140211), we get a palindrome (7260627).

The spelling of 1120416 in words is "one million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1061 2122 3183 4244 6366 8488 11671 12732 16976 23342 25464 33952 35013 46684 50928 70026 93368 101856 140052 186736 280104 373472 560208 1120416