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20648480 = 2552331181
BaseRepresentation
bin100111011000…
…1001000100000
31102212001101112
41032301020200
520241222410
62014322452
7340336436
oct116611040
942761345
1020648480
1110723566
126ab9428
13437c648
142a56d56
151c2d105
hex13b1220

20648480 has 96 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 7603200.

The previous prime is 20648477. The next prime is 20648501. The reversal of 20648480 is 8484602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113990 + ... + 114170.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 220648480 is an apocalyptic number.

20648480 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 20648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

20648480 is an abundant number, since it is smaller than the sum of its proper divisors (32186848).

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

20648480 is a wasteful number, since it uses less digits than its factorization.

20648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 20648480 is about 4544.0598587607. The cubic root of 20648480 is about 274.3443554348.

The spelling of 20648480 in words is "twenty million, six hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 80 92 115 124 155 160 181 184 230 248 310 362 368 460 496 620 713 724 736 905 920 992 1240 1426 1448 1810 1840 2480 2852 2896 3565 3620 3680 4163 4960 5611 5704 5792 7130 7240 8326 11222 11408 14260 14480 16652 20815 22444 22816 28055 28520 28960 33304 41630 44888 56110 57040 66608 83260 89776 112220 114080 129053 133216 166520 179552 224440 258106 333040 448880 516212 645265 666080 897760 1032424 1290530 2064848 2581060 4129696 5162120 10324240 20648480