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19896500 = 2253133061
BaseRepresentation
bin100101111100…
…1100010110100
31101102211212102
41023321202310
520043142000
61550241232
7331055201
oct113714264
941384772
1019896500
111025a598
1267b6218
1341782a0
1428dcca8
151b303d5
hex12f98b4

19896500 has 48 divisors (see below), whose sum is σ = 46811856. Its totient is φ = 7344000.

The previous prime is 19896493. The next prime is 19896509. The reversal of 19896500 is 569891.

It can be written as a sum of positive squares in 8 ways, for example, as 4857616 + 15038884 = 2204^2 + 3878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19896509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4970 + ... + 8030.

It is an arithmetic number, because the mean of its divisors is an integer number (975247).

Almost surely, 219896500 is an apocalyptic number.

19896500 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 19896500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405928).

19896500 is an abundant number, since it is smaller than the sum of its proper divisors (26915356).

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

19896500 is a wasteful number, since it uses less digits than its factorization.

19896500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 19896500 is about 4460.5492935288. The cubic root of 19896500 is about 270.9727145815.

The spelling of 19896500 in words is "nineteen million, eight hundred ninety-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3061 3250 6122 6500 12244 15305 30610 39793 61220 76525 79586 153050 159172 198965 306100 382625 397930 765250 795860 994825 1530500 1989650 3979300 4974125 9948250 19896500