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20164480 = 27572643
BaseRepresentation
bin100110011101…
…0111110000000
31101221110110121
41030322332000
520130230410
62000110024
7333252400
oct114727600
941843417
1020164480
1110422966
126905314
13424025b
14296c800
151b849da
hex133af80

20164480 has 96 divisors (see below), whose sum is σ = 56163240. Its totient is φ = 6902784.

The previous prime is 20164451. The next prime is 20164481. The reversal of 20164480 is 8446102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20164481) 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, 31039 + ... + 31681.

Almost surely, 220164480 is an apocalyptic number.

20164480 is a gapful number since it is divisible by the number (20) 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 20164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28081620).

20164480 is an abundant number, since it is smaller than the sum of its proper divisors (35998760).

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

20164480 is an equidigital number, since it uses as much as digits as its factorization.

20164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 657 counting only the distinct ones).

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

The square root of 20164480 is about 4490.4877240674. The cubic root of 20164480 is about 272.1838434179.

The spelling of 20164480 in words is "twenty million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 643 784 896 980 1120 1286 1568 1960 2240 2572 3136 3215 3920 4480 4501 5144 6272 6430 7840 9002 10288 12860 15680 18004 20576 22505 25720 31360 31507 36008 41152 45010 51440 63014 72016 82304 90020 102880 126028 144032 157535 180040 205760 252056 288064 315070 360080 411520 504112 576128 630140 720160 1008224 1260280 1440320 2016448 2520560 2880640 4032896 5041120 10082240 20164480