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1996672 = 2719821
BaseRepresentation
bin111100111011110000000
310202102220211
413213132000
51002343142
6110443504
722654126
oct7473600
93672824
101996672
111144147
12803594
1354ba82
1439d916
15296917
hex1e7780

1996672 has 32 divisors (see below), whose sum is σ = 4192200. Its totient is φ = 944640.

The previous prime is 1996649. The next prime is 1996681. The reversal of 1996672 is 2766991.

1996672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×19966723 = 23880391249933369344, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2022 + ... + 2842.

21996672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096100).

1996672 is an abundant number, since it is smaller than the sum of its proper divisors (2195528).

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

1996672 is an equidigital number, since it uses as much as digits as its factorization.

1996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 842 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The square root of 1996672 is about 1413.0364468052. The cubic root of 1996672 is about 125.9221825706.

The spelling of 1996672 in words is "one million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 821 1216 1642 2432 3284 6568 13136 15599 26272 31198 52544 62396 105088 124792 249584 499168 998336 1996672