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1392864 = 253111319
BaseRepresentation
bin101010100000011100000
32121202122120
411110003200
5324032424
645504240
714560554
oct5240340
92552576
101392864
11871530
12572080
13399ca5
14283864
151c7a79
hex1540e0

1392864 has 48 divisors (see below), whose sum is σ = 3991680. Its totient is φ = 421760.

The previous prime is 1392851. The next prime is 1392877. The reversal of 1392864 is 4682931.

It is an interprime number because it is at equal distance from previous prime (1392851) and next prime (1392877).

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 (33).

It is a congruent number.

It is an unprimeable number.

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, 397 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

21392864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995840).

1392864 is an abundant number, since it is smaller than the sum of its proper divisors (2598816).

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

1392864 is a wasteful number, since it uses less digits than its factorization.

1392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 1392864 is about 1180.1965937927. The cubic root of 1392864 is about 111.6784997732.

It can be divided in two parts, 139 and 2864, that added together give a palindrome (3003).

The spelling of 1392864 in words is "one million, three hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1319 2638 3957 5276 7914 10552 14509 15828 21104 29018 31656 42208 43527 58036 63312 87054 116072 126624 174108 232144 348216 464288 696432 1392864