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19906320 = 2435717241
BaseRepresentation
bin100101111101…
…1111100010000
31101110100100010
41023323330100
520044000240
61550354520
7331125630
oct113737420
941410303
1019906320
1110266a05
1267bba40
13417c8b5
1429026c0
151b33280
hex12fbf10

19906320 has 240 divisors, whose sum is σ = 76745088. Its totient is φ = 4177920.

The previous prime is 19906307. The next prime is 19906331. The reversal of 19906320 is 2360991.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485500 + ... + 485540.

Almost surely, 219906320 is an apocalyptic number.

19906320 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 19906320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38372544).

19906320 is an abundant number, since it is smaller than the sum of its proper divisors (56838768).

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

19906320 is a wasteful number, since it uses less digits than its factorization.

19906320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 19906320 is about 4461.6499190322. The cubic root of 19906320 is about 271.0172871513.

The spelling of 19906320 in words is "nineteen million, nine hundred six thousand, three hundred twenty".