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20047872 = 211313251
BaseRepresentation
bin100110001111…
…0100000000000
31101201112111210
41030132200000
520113012442
61553410120
7332255415
oct114364000
941645453
1020047872
1110353299
126869940
1341cc160
14293c10c
151b6019c
hex131e800

20047872 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 6144000.

The previous prime is 20047871. The next prime is 20047889. The reversal of 20047872 is 27874002.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20047871) 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, 79747 + ... + 79997.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 220047872 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 20047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

20047872 is an abundant number, since it is smaller than the sum of its proper divisors (37740768).

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

20047872 is a wasteful number, since it uses less digits than its factorization.

20047872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 20047872 is about 4477.4850083501. The cubic root of 20047872 is about 271.6581634250.

The spelling of 20047872 in words is "twenty million, forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 251 256 312 384 416 502 512 624 753 768 832 1004 1024 1248 1506 1536 1664 2008 2048 2496 3012 3072 3263 3328 4016 4992 6024 6144 6526 6656 8032 9789 9984 12048 13052 13312 16064 19578 19968 24096 26104 26624 32128 39156 39936 48192 52208 64256 78312 79872 96384 104416 128512 156624 192768 208832 257024 313248 385536 417664 514048 626496 771072 835328 1252992 1542144 1670656 2505984 3341312 5011968 6682624 10023936 20047872