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20981760 = 21135683
BaseRepresentation
bin101000000001…
…0100000000000
31110110222120020
41100002200000
520332404020
62025413440
7343225212
oct120024000
943428506
1020981760
11109309a8
12703a280
134468257
142b025b2
151c96c40
hex1402800

20981760 has 96 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 5586944.

The previous prime is 20981749. The next prime is 20981767. The reversal of 20981760 is 6718902.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (20981767) 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, 30379 + ... + 31061.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 220981760 is an apocalyptic number.

20981760 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 20981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

20981760 is an abundant number, since it is smaller than the sum of its proper divisors (46241760).

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

20981760 is an equidigital number, since it uses as much as digits as its factorization.

20981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 20981760 is about 4580.5851154629. The cubic root of 20981760 is about 275.8125170768.

The spelling of 20981760 in words is "twenty million, nine hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 683 768 960 1024 1280 1366 1536 1920 2048 2049 2560 2732 3072 3415 3840 4098 5120 5464 6144 6830 7680 8196 10240 10245 10928 13660 15360 16392 20490 21856 27320 30720 32784 40980 43712 54640 65568 81960 87424 109280 131136 163920 174848 218560 262272 327840 349696 437120 524544 655680 699392 874240 1049088 1311360 1398784 1748480 2098176 2622720 3496960 4196352 5245440 6993920 10490880 20981760