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20446480 = 2451311951
BaseRepresentation
bin100110111111…
…1110100010000
31102110210022001
41031333310100
520213241410
62010123344
7335535505
oct115776420
942423261
1020446480
11105a581a
126a20554
13430b712
142a034ac
151bdd33a
hex137fd10

20446480 has 40 divisors (see below), whose sum is σ = 47925504. Its totient is φ = 8112000.

The previous prime is 20446477. The next prime is 20446487. The reversal of 20446480 is 8464402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20446487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9505 + ... + 11455.

Almost surely, 220446480 is an apocalyptic number.

20446480 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 20446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962752).

20446480 is an abundant number, since it is smaller than the sum of its proper divisors (27479024).

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

20446480 is a wasteful number, since it uses less digits than its factorization.

20446480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 20446480 is about 4521.7784112006. The cubic root of 20446480 is about 273.4468033080.

The spelling of 20446480 in words is "twenty million, four hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 1951 2096 2620 3902 5240 7804 9755 10480 15608 19510 31216 39020 78040 156080 255581 511162 1022324 1277905 2044648 2555810 4089296 5111620 10223240 20446480