1382976 has 105 divisors (see below), whose sum is σ = 4624451. Its totient is φ = 395136.

The previous prime is 1382959. The next prime is 1382977. The reversal of 1382976 is 6792831.

1382976 = 1^{3} + 2^{3} + ... + 48^{3}.

The square root of 1382976 is 1176.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×1382976^{3} = 7935333527345430528, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a Duffinian number.

Its product of digits (18144) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number *n* which added to its sum of digits gives 1382976.

It is not an unprimeable number, because it can be changed into a prime (1382977) 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 14 ways as a sum of consecutive naturals, for example, 197565 + ... + 197571.

2^{1382976} is an apocalyptic number.

1382976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1382976 is the 1176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382976

1382976 is an abundant number, since it is smaller than the sum of its proper divisors (3241475).

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

1382976 is an frugal number, since it uses more digits than its factorization.

1382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The cubic root of 1382976 is about 111.4136018211.

Multiplying 1382976 by its sum of digits (36), we get a 4-th power (49787136 = 84^{4}).

1382976 divided by its sum of digits (36) gives a 4-th power (38416 = 14^{4}).

The spelling of 1382976 in words is "one million, three hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 343 392 441 448 504 576 588 672 686 784 882 1008 1029 1176 1344 1372 1568 1764 2016 2058 2352 2401 2744 3087 3136 3528 4032 4116 4704 4802 5488 6174 7056 7203 8232 9408 9604 10976 12348 14112 14406 16464 19208 21609 21952 24696 28224 28812 32928 38416 43218 49392 57624 65856 76832 86436 98784 115248 153664 172872 197568 230496 345744 460992 691488 1382976

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