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19894896 = 243571743
BaseRepresentation
bin100101111100…
…1001001110000
31101102202200000
41023321021300
520043114041
61550230000
7331050420
oct113711160
941382600
1019894896
111025936a
1267b5300
134177638
1428dc480
151b2ebb6
hex12f9270

19894896 has 240 divisors, whose sum is σ = 71495424. Its totient is φ = 5225472.

The previous prime is 19894891. The next prime is 19894921. The reversal of 19894896 is 69849891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1119744) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19894891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462651 + ... + 462693.

Almost surely, 219894896 is an apocalyptic number.

19894896 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 19894896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

19894896 is an abundant number, since it is smaller than the sum of its proper divisors (51600528).

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

19894896 is a wasteful number, since it uses less digits than its factorization.

19894896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 19894896 is about 4460.3694914211. The cubic root of 19894896 is about 270.9654326992.

The spelling of 19894896 in words is "nineteen million, eight hundred ninety-four thousand, eight hundred ninety-six".