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20164408 = 2311237563
BaseRepresentation
bin100110011101…
…0111100111000
31101221110100221
41030322330320
520130230113
62000105424
7333252235
oct114727470
941843327
1020164408
1110422900
126905274
134240204
14296c78c
151b8498d
hex133af38

20164408 has 48 divisors (see below), whose sum is σ = 42756840. Its totient is φ = 8902080.

The previous prime is 20164393. The next prime is 20164409. The reversal of 20164408 is 80446102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20164409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35535 + ... + 36097.

Almost surely, 220164408 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 20164408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21378420).

20164408 is an abundant number, since it is smaller than the sum of its proper divisors (22592432).

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

20164408 is a wasteful number, since it uses less digits than its factorization.

20164408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20164408 is about 4490.4797071137. The cubic root of 20164408 is about 272.1835194611.

The spelling of 20164408 in words is "twenty million, one hundred sixty-four thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 563 814 968 1126 1628 2252 3256 4477 4504 6193 8954 12386 17908 20831 24772 35816 41662 49544 68123 83324 136246 166648 229141 272492 458282 544984 916564 1833128 2520551 5041102 10082204 20164408