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1097856 = 2732953
BaseRepresentation
bin100001100000010000000
32001202222100
410030002000
5240112411
635310400
712221514
oct4140200
92052870
101097856
1168a921
1244b400
132c5926
14208144
1516a456
hex10c080

1097856 has 48 divisors (see below), whose sum is σ = 3162510. Its totient is φ = 365568.

The previous prime is 1097851. The next prime is 1097861. The reversal of 1097856 is 6587901.

It is an interprime number because it is at equal distance from previous prime (1097851) and next prime (1097861).

It can be written as a sum of positive squares in only one way, i.e., 968256 + 129600 = 984^2 + 360^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1097856.

It is not an unprimeable number, because it can be changed into a prime (1097851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 676 + ... + 1628.

21097856 is an apocalyptic number.

1097856 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 1097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581255).

1097856 is an abundant number, since it is smaller than the sum of its proper divisors (2064654).

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

1097856 is an equidigital number, since it uses as much as digits as its factorization.

1097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1097856 is about 1047.7862377413. The cubic root of 1097856 is about 103.1609009989.

It can be divided in two parts, 1097 and 856, that added together give a triangular number (1953 = T62).

The spelling of 1097856 in words is "one million, ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 953 1152 1906 2859 3812 5718 7624 8577 11436 15248 17154 22872 30496 34308 45744 60992 68616 91488 121984 137232 182976 274464 365952 548928 1097856