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1978272 = 25326869
BaseRepresentation
bin111100010111110100000
310201111200100
413202332200
51001301042
6110222400
722546362
oct7427640
93644610
101978272
11113133a
127b4a00
1354359a
14396d32
1529124c
hex1e2fa0

1978272 has 36 divisors (see below), whose sum is σ = 5626530. Its totient is φ = 659328.

The previous prime is 1978267. The next prime is 1978289. The reversal of 1978272 is 2728791.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 7056 = 1404^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3147 + ... + 3722.

21978272 is an apocalyptic number.

1978272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1978272 is an abundant number, since it is smaller than the sum of its proper divisors (3648258).

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

1978272 is a wasteful number, since it uses less digits than its factorization.

1978272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6874 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1978272 is about 1406.5105758579. The cubic root of 1978272 is about 125.5341832674.

The spelling of 1978272 in words is "one million, nine hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6869 13738 20607 27476 41214 54952 61821 82428 109904 123642 164856 219808 247284 329712 494568 659424 989136 1978272