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20896480 = 2551131383
BaseRepresentation
bin100111110110…
…1101011100000
31110022122120201
41033231223200
520322141410
62023514544
7342421453
oct117555340
943278521
1020896480
1110882920
126bb8a54
1344384a7
142abd49a
151c7b83a
hex13edae0

20896480 has 96 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 7334400.

The previous prime is 20896471. The next prime is 20896481. The reversal of 20896480 is 8469802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20896481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54369 + ... + 54751.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 220896480 is an apocalyptic number.

20896480 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 20896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

20896480 is an abundant number, since it is smaller than the sum of its proper divisors (34841888).

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

20896480 is a wasteful number, since it uses less digits than its factorization.

20896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 20896480 is about 4571.2667828513. The cubic root of 20896480 is about 275.4383312617.

The spelling of 20896480 in words is "twenty million, eight hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 383 440 496 620 682 766 880 992 1240 1364 1532 1705 1760 1915 2480 2728 3064 3410 3830 4213 4960 5456 6128 6820 7660 8426 10912 11873 12256 13640 15320 16852 21065 23746 27280 30640 33704 42130 47492 54560 59365 61280 67408 84260 94984 118730 130603 134816 168520 189968 237460 261206 337040 379936 474920 522412 653015 674080 949840 1044824 1306030 1899680 2089648 2612060 4179296 5224120 10448240 20896480