Search a number
-
+
1392480 = 25325967
BaseRepresentation
bin101010011111101100000
32121202010100
411103331200
5324024410
645502400
714556465
oct5237540
92552110
101392480
11871211
12571a00
13399a6b
1428366c
151c78c0
hex153f60

1392480 has 72 divisors (see below), whose sum is σ = 4756752. Its totient is φ = 370944.

The previous prime is 1392473. The next prime is 1392481. The reversal of 1392480 is 842931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (66066).

21392480 is an apocalyptic number.

1392480 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 1392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378376).

1392480 is an abundant number, since it is smaller than the sum of its proper divisors (3364272).

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

1392480 is a wasteful number, since it uses less digits than its factorization.

1392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1392480 is about 1180.0338978182. The cubic root of 1392480 is about 111.6682359127.

The spelling of 1392480 in words is "one million, three hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 967 1440 1934 2901 3868 4835 5802 7736 8703 9670 11604 14505 15472 17406 19340 23208 29010 30944 34812 38680 43515 46416 58020 69624 77360 87030 92832 116040 139248 154720 174060 232080 278496 348120 464160 696240 1392480