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20064864 = 253474447
BaseRepresentation
bin100110010001…
…0101001100000
31101202101211010
41030202221200
520114033424
61554020520
7332356101
oct114425140
941671733
1020064864
1110365036
126877740
134206b01
1429443a8
151b65229
hex1322a60

20064864 has 48 divisors (see below), whose sum is σ = 53803008. Its totient is φ = 6544512.

The previous prime is 20064851. The next prime is 20064881. The reversal of 20064864 is 46846002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2289 + ... + 6735.

It is an arithmetic number, because the mean of its divisors is an integer number (1120896).

Almost surely, 220064864 is an apocalyptic number.

20064864 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 20064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26901504).

20064864 is an abundant number, since it is smaller than the sum of its proper divisors (33738144).

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

20064864 is a wasteful number, since it uses less digits than its factorization.

20064864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20064864 is about 4479.3821002455. The cubic root of 20064864 is about 271.7348916349.

The spelling of 20064864 in words is "twenty million, sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4447 4512 8894 13341 17788 26682 35576 53364 71152 106728 142304 209009 213456 418018 426912 627027 836036 1254054 1672072 2508108 3344144 5016216 6688288 10032432 20064864