Search a number
-
+
1466440 = 23561601
BaseRepresentation
bin101100110000001001000
32202111120121
411212001020
5333411230
651233024
715315223
oct5460110
92674517
101466440
11911838
125a8774
133c4621
142a25ba
151de77a
hex166048

1466440 has 32 divisors (see below), whose sum is σ = 3359160. Its totient is φ = 576000.

The previous prime is 1466417. The next prime is 1466449. The reversal of 1466440 is 446641.

It can be written as a sum of positive squares in 4 ways, for example, as 1028196 + 438244 = 1014^2 + 662^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1466449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2140 + ... + 2740.

21466440 is an apocalyptic number.

1466440 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 1466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679580).

1466440 is an abundant number, since it is smaller than the sum of its proper divisors (1892720).

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

1466440 is a wasteful number, since it uses less digits than its factorization.

1466440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1466440 is about 1210.9665561030. The cubic root of 1466440 is about 113.6112747521.

The spelling of 1466440 in words is "one million, four hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 601 610 1202 1220 2404 2440 3005 4808 6010 12020 24040 36661 73322 146644 183305 293288 366610 733220 1466440