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20110464 = 273311232
BaseRepresentation
bin100110010110…
…1110010000000
31101211201101000
41030231302000
520122013324
61555012000
7332636043
oct114556200
941751330
1020110464
1110396320
12689a000
1342217aa
142956c5a
151b739c9
hex132dc80

20110464 has 192 divisors, whose sum is σ = 67687200. Its totient is φ = 5829120.

The previous prime is 20110429. The next prime is 20110481. The reversal of 20110464 is 46401102.

20110464 is a `hidden beast` number, since 201 + 1 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 874357 + ... + 874379.

Almost surely, 220110464 is an apocalyptic number.

20110464 is a gapful number since it is divisible by the number (24) 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 20110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33843600).

20110464 is an abundant number, since it is smaller than the sum of its proper divisors (47576736).

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

20110464 is a wasteful number, since it uses less digits than its factorization.

20110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20110464 is about 4484.4691993591. The cubic root of 20110464 is about 271.9405867926.

Adding to 20110464 its reverse (46401102), we get a palindrome (66511566).

The spelling of 20110464 in words is "twenty million, one hundred ten thousand, four hundred sixty-four".