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1968381 = 34191279
BaseRepresentation
bin111100000100011111101
310201000010000
413200203331
51000442011
6110104513
722505502
oct7404375
93630100
101968381
111124968
127ab139
1353bc2c
143934a9
1528d356
hex1e08fd

1968381 has 20 divisors (see below), whose sum is σ = 3097600. Its totient is φ = 1242216.

The previous prime is 1968361. The next prime is 1968383. The reversal of 1968381 is 1838691.

It is not a de Polignac number, because 1968381 - 25 = 1968349 is a prime.

It is a super-2 number, since 2×19683812 = 7749047522322, which contains 22 as substring.

It is a Duffinian number.

1968381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 900 + ... + 2178.

It is an arithmetic number, because the mean of its divisors is an integer number (154880).

21968381 is an apocalyptic number.

It is an amenable number.

1968381 is a deficient number, since it is larger than the sum of its proper divisors (1129219).

1968381 is a wasteful number, since it uses less digits than its factorization.

1968381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1301 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1968381 is about 1402.9900213473. The cubic root of 1968381 is about 125.3246175909.

It can be divided in two parts, 19683 and 81, that multiplied together give a 13-th power (1594323 = 313).

The spelling of 1968381 in words is "one million, nine hundred sixty-eight thousand, three hundred eighty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1279 1539 3837 11511 24301 34533 72903 103599 218709 656127 1968381