Search a number
-
+
1120096 = 25172971
BaseRepresentation
bin100010001011101100000
32002220111001
410101131200
5241320341
640001344
712343405
oct4213540
92086431
101120096
116a55aa
12460254
13302aa3
142122ac
15171d31
hex111760

1120096 has 48 divisors (see below), whose sum is σ = 2449440. Its totient is φ = 501760.

The previous prime is 1120087. The next prime is 1120109. The reversal of 1120096 is 6900211.

It is a congruent number.

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, 15741 + ... + 15811.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

21120096 is an apocalyptic number.

1120096 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 1120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224720).

1120096 is an abundant number, since it is smaller than the sum of its proper divisors (1329344).

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

1120096 is a wasteful number, since it uses less digits than its factorization.

1120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1120096 is about 1058.3458791907. The cubic root of 1120096 is about 103.8528490917.

The spelling of 1120096 in words is "one million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 71 116 136 142 232 272 284 464 493 544 568 928 986 1136 1207 1972 2059 2272 2414 3944 4118 4828 7888 8236 9656 15776 16472 19312 32944 35003 38624 65888 70006 140012 280024 560048 1120096