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1996467000 = 2335311101599
BaseRepresentation
bin111011011111111…
…1010101100111000
312011010201000212020
41312333322230320
513042043421000
6530035114440
7100321455333
oct16677725470
95133630766
101996467000
11934a54230
12478742a20
1325a80b228
1414d21961a
15ba415ba0
hex76ffab38

1996467000 has 256 divisors, whose sum is σ = 6873984000. Its totient is φ = 478400000.

The previous prime is 1996466993. The next prime is 1996467001. The reversal of 1996467000 is 7646991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996467001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332701 + ... + 3333299.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 21996467000 is an apocalyptic number.

1996467000 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 1996467000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436992000).

1996467000 is an abundant number, since it is smaller than the sum of its proper divisors (4877517000).

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

1996467000 is a wasteful number, since it uses less digits than its factorization.

1996467000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1996467000 is about 44681.8419494989. The cubic root of 1996467000 is about 1259.1787291084.

It can be divided in two parts, 1996 and 467000, that added together give a triangular number (468996 = T968).

The spelling of 1996467000 in words is "one billion, nine hundred ninety-six million, four hundred sixty-seven thousand".