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1166440 = 235112241
BaseRepresentation
bin100011100110001101000
32012021001111
410130301220
5244311230
641000104
712625462
oct4346150
92167044
101166440
11727400
12483034
1331ac02
14225132
1518092a
hex11cc68

1166440 has 48 divisors (see below), whose sum is σ = 2896740. Its totient is φ = 422400.

The previous prime is 1166413. The next prime is 1166441. The reversal of 1166440 is 446611.

It can be written as a sum of positive squares in 2 ways, for example, as 1162084 + 4356 = 1078^2 + 66^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1166441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4720 + ... + 4960.

21166440 is an apocalyptic number.

1166440 is a gapful number since it is divisible by the number (10) 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 1166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448370).

1166440 is an abundant number, since it is smaller than the sum of its proper divisors (1730300).

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

1166440 is a wasteful number, since it uses less digits than its factorization.

1166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1166440 is about 1080.0185183598. The cubic root of 1166440 is about 105.2658418614.

It can be divided in two parts, 116 and 6440, that added together give a palindrome (6556).

The spelling of 1166440 in words is "one million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 241 242 440 482 484 605 964 968 1205 1210 1928 2410 2420 2651 4820 4840 5302 9640 10604 13255 21208 26510 29161 53020 58322 106040 116644 145805 233288 291610 583220 1166440