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20653248 = 2637112127
BaseRepresentation
bin100111011001…
…0010011000000
31102212021221010
41032302103000
520241400443
62014400520
7340356360
oct116622300
942767833
1020653248
1110727100
126b00140
134381875
142a589a0
151c2e733
hex13b24c0

20653248 has 168 divisors, whose sum is σ = 69185536. Its totient is φ = 5322240.

The previous prime is 20653229. The next prime is 20653267. The reversal of 20653248 is 84235602.

It is an interprime number because it is at equal distance from previous prime (20653229) and next prime (20653267).

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162561 + ... + 162687.

Almost surely, 220653248 is an apocalyptic number.

20653248 is a gapful number since it is divisible by the number (28) 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 20653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34592768).

20653248 is an abundant number, since it is smaller than the sum of its proper divisors (48532288).

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

20653248 is a wasteful number, since it uses less digits than its factorization.

20653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20653248 is about 4544.5844694537. The cubic root of 20653248 is about 274.3654703581.

The spelling of 20653248 in words is "twenty million, six hundred fifty-three thousand, two hundred forty-eight".