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1996940 = 2251129313
BaseRepresentation
bin111100111100010001100
310202110021202
413213202030
51002400230
6110445032
722654661
oct7474214
93673252
101996940
111144370
12803778
1354bc2a
1439da68
15296a45
hex1e788c

1996940 has 48 divisors (see below), whose sum is σ = 4747680. Its totient is φ = 698880.

The previous prime is 1996937. The next prime is 1996949. The reversal of 1996940 is 496991.

It is a junction number, because it is equal to n+sod(n) for n = 1996894 and 1996903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996949) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6224 + ... + 6536.

It is an arithmetic number, because the mean of its divisors is an integer number (98910).

21996940 is an apocalyptic number.

1996940 is a gapful number since it is divisible by the number (10) 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 1996940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373840).

1996940 is an abundant number, since it is smaller than the sum of its proper divisors (2750740).

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

1996940 is a wasteful number, since it uses less digits than its factorization.

1996940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 1996940 is about 1413.1312748644. The cubic root of 1996940 is about 125.9278162175.

The spelling of 1996940 in words is "one million, nine hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 313 319 580 626 638 1252 1276 1565 1595 3130 3190 3443 6260 6380 6886 9077 13772 17215 18154 34430 36308 45385 68860 90770 99847 181540 199694 399388 499235 998470 1996940