Search a number
-
+
21028480 = 2751129103
BaseRepresentation
bin101000000110…
…1111010000000
31110120100122121
41100031322000
520340402410
62030414024
7343511344
oct120157200
943510577
1021028480
1110963010
127061314
1344835b5
142b15624
151ca59da
hex140de80

21028480 has 128 divisors (see below), whose sum is σ = 57283200. Its totient is φ = 7311360.

The previous prime is 21028477. The next prime is 21028481. The reversal of 21028480 is 8482012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×210284802 = 884393942220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21028481) 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, 204109 + ... + 204211.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 221028480 is an apocalyptic number.

21028480 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 21028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641600).

21028480 is an abundant number, since it is smaller than the sum of its proper divisors (36254720).

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

21028480 is a wasteful number, since it uses less digits than its factorization.

21028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 21028480 is about 4585.6820648623. The cubic root of 21028480 is about 276.0170821885.

The spelling of 21028480 in words is "twenty-one million, twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 103 110 116 128 145 160 176 206 220 232 290 319 320 352 412 440 464 515 580 638 640 704 824 880 928 1030 1133 1160 1276 1408 1595 1648 1760 1856 2060 2266 2320 2552 2987 3190 3296 3520 3712 4120 4532 4640 5104 5665 5974 6380 6592 7040 8240 9064 9280 10208 11330 11948 12760 13184 14935 16480 18128 18560 20416 22660 23896 25520 29870 32857 32960 36256 40832 45320 47792 51040 59740 65714 65920 72512 90640 95584 102080 119480 131428 145024 164285 181280 191168 204160 238960 262856 328570 362560 382336 477920 525712 657140 725120 955840 1051424 1314280 1911680 2102848 2628560 4205696 5257120 10514240 21028480