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20980480 = 28537443
BaseRepresentation
bin101000000001…
…0001100000000
31110110220210211
41100002030000
520332333410
62025403504
7343221403
oct120021400
943426724
1020980480
111092aa44
127039594
1344677b1
142b01d3a
151c9668a
hex1402300

20980480 has 72 divisors (see below), whose sum is σ = 51729552. Its totient is φ = 8146944.

The previous prime is 20980469. The next prime is 20980481. The reversal of 20980480 is 8408902.

It is not an unprimeable number, because it can be changed into a prime (20980481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47139 + ... + 47581.

It is an arithmetic number, because the mean of its divisors is an integer number (718466).

Almost surely, 220980480 is an apocalyptic number.

20980480 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 20980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25864776).

20980480 is an abundant number, since it is smaller than the sum of its proper divisors (30749072).

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

20980480 is an equidigital number, since it uses as much as digits as its factorization.

20980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 20980480 is about 4580.4453931905. The cubic root of 20980480 is about 275.8069082813.

The spelling of 20980480 in words is "twenty million, nine hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 443 592 640 740 886 1184 1280 1480 1772 2215 2368 2960 3544 4430 4736 5920 7088 8860 9472 11840 14176 16391 17720 23680 28352 32782 35440 47360 56704 65564 70880 81955 113408 131128 141760 163910 262256 283520 327820 524512 567040 655640 1049024 1311280 2098048 2622560 4196096 5245120 10490240 20980480