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20983728 = 2432383229
BaseRepresentation
bin101000000001…
…0111110110000
31110111002021010
41100002332300
520332434403
62025430520
7343234023
oct120027660
943432233
1020983728
1110932427
12703b440
13446910c
142b031ba
151c97603
hex1402fb0

20983728 has 80 divisors (see below), whose sum is σ = 57496320. Its totient is φ = 6580992.

The previous prime is 20983727. The next prime is 20983741. The reversal of 20983728 is 82738902.

It is not an unprimeable number, because it can be changed into a prime (20983723) 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, 91518 + ... + 91746.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 220983728 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 20983728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748160).

20983728 is an abundant number, since it is smaller than the sum of its proper divisors (36512592).

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

20983728 is a wasteful number, since it uses less digits than its factorization.

20983728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 20983728 is about 4580.7999301432. The cubic root of 20983728 is about 275.8211401548.

The spelling of 20983728 in words is "twenty million, nine hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 229 249 276 332 368 458 498 552 664 687 916 996 1104 1328 1374 1832 1909 1992 2748 3664 3818 3984 5267 5496 5727 7636 10534 10992 11454 15272 15801 19007 21068 22908 30544 31602 38014 42136 45816 57021 63204 76028 84272 91632 114042 126408 152056 228084 252816 304112 437161 456168 874322 912336 1311483 1748644 2622966 3497288 5245932 6994576 10491864 20983728