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1392976 = 241337181
BaseRepresentation
bin101010100000101010000
32121202210201
411110011100
5324033401
645504544
714561104
oct5240520
92552721
101392976
11871622
12572154
1339a060
14283904
151c7b01
hex154150

1392976 has 40 divisors (see below), whose sum is σ = 3001544. Its totient is φ = 622080.

The previous prime is 1392959. The next prime is 1392977. The reversal of 1392976 is 6792931.

It can be written as a sum of positive squares in 4 ways, for example, as 10000 + 1382976 = 100^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392977) 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, 7606 + ... + 7786.

21392976 is an apocalyptic number.

1392976 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 1392976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500772).

1392976 is an abundant number, since it is smaller than the sum of its proper divisors (1608568).

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

1392976 is a wasteful number, since it uses less digits than its factorization.

1392976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its digits is 20412, while the sum is 37.

The square root of 1392976 is about 1180.2440425607. The cubic root of 1392976 is about 111.6814930439.

The spelling of 1392976 in words is "one million, three hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 181 208 296 362 481 592 724 962 1448 1924 2353 2896 3848 4706 6697 7696 9412 13394 18824 26788 37648 53576 87061 107152 174122 348244 696488 1392976