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1893696 = 26371409
BaseRepresentation
bin111001110010101000000
310120012122220
413032111000
5441044241
6104331040
722044660
oct7162500
93505586
101893696
111083842
12773a80
13513c3c
143741a0
15276166
hex1ce540

1893696 has 56 divisors (see below), whose sum is σ = 5730240. Its totient is φ = 540672.

The previous prime is 1893643. The next prime is 1893701. The reversal of 1893696 is 6963981.

1893696 = T104 + T105 + ... + T231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640 + ... + 2048.

21893696 is an apocalyptic number.

1893696 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 1893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865120).

1893696 is an abundant number, since it is smaller than the sum of its proper divisors (3836544).

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

1893696 is a wasteful number, since it uses less digits than its factorization.

1893696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1421 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1893696 is about 1376.1162741571. The cubic root of 1893696 is about 123.7191005395.

The spelling of 1893696 in words is "one million, eight hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1409 2818 4227 5636 8454 9863 11272 16908 19726 22544 29589 33816 39452 45088 59178 67632 78904 90176 118356 135264 157808 236712 270528 315616 473424 631232 946848 1893696