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1997856 = 25327991
BaseRepresentation
bin111100111110000100000
310202111112200
413213300200
51002412411
6110453200
722660440
oct7476040
93674480
101997856
111145023
12804200
1354c483
143a0120
15296e56
hex1e7c20

1997856 has 72 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 570240.

The previous prime is 1997851. The next prime is 1997867. The reversal of 1997856 is 6587991.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1997851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1521 + ... + 2511.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

21997856 is an apocalyptic number.

1997856 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 1997856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

1997856 is an abundant number, since it is smaller than the sum of its proper divisors (4501728).

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

1997856 is a wasteful number, since it uses less digits than its factorization.

1997856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1003 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1997856 is about 1413.4553406458. The cubic root of 1997856 is about 125.9470677135.

The spelling of 1997856 in words is "one million, nine hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 991 1008 1982 2016 2973 3964 5946 6937 7928 8919 11892 13874 15856 17838 20811 23784 27748 31712 35676 41622 47568 55496 62433 71352 83244 95136 110992 124866 142704 166488 221984 249732 285408 332976 499464 665952 998928 1997856