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1968416 = 25137449
BaseRepresentation
bin111100000100100100000
310201000011022
413200210200
51000442131
6110105012
722505552
oct7404440
93630138
101968416
11112499a
127ab168
1353bc58
143934d2
1528d37b
hex1e0920

1968416 has 24 divisors (see below), whose sum is σ = 3912300. Its totient is φ = 974848.

The previous prime is 1968403. The next prime is 1968427. The reversal of 1968416 is 6148691.

It can be written as a sum of positive squares in 2 ways, for example, as 1948816 + 19600 = 1396^2 + 140^2 .

It is a plaindrome in base 11.

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 3 ways as a sum of consecutive naturals, for example, 4160 + ... + 4608.

21968416 is an apocalyptic number.

1968416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1968416 is a deficient number, since it is larger than the sum of its proper divisors (1943884).

1968416 is a wasteful number, since it uses less digits than its factorization.

1968416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 1968416 is about 1403.0024946521. The cubic root of 1968416 is about 125.3253603902.

The spelling of 1968416 in words is "one million, nine hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 137 274 449 548 898 1096 1796 2192 3592 4384 7184 14368 61513 123026 246052 492104 984208 1968416