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20091456 = 2633711151
BaseRepresentation
bin100110010100…
…1001001000000
31101210202022000
41030221021000
520120411311
61554344000
7332526450
oct114511100
941722260
1020091456
1110383010
12688b000
134215c48
14294dd60
151b6d056
hex1329240

20091456 has 224 divisors, whose sum is σ = 74127360. Its totient is φ = 5184000.

The previous prime is 20091451. The next prime is 20091457. The reversal of 20091456 is 65419002.

20091456 is a `hidden beast` number, since 200 + 9 + 1 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20091451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132981 + ... + 133131.

Almost surely, 220091456 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 20091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37063680).

20091456 is an abundant number, since it is smaller than the sum of its proper divisors (54035904).

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

20091456 is a wasteful number, since it uses less digits than its factorization.

20091456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20091456 is about 4482.3493839727. The cubic root of 20091456 is about 271.8548822213.

The spelling of 20091456 in words is "twenty million, ninety-one thousand, four hundred fifty-six".