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20568480 = 253573587
BaseRepresentation
bin100111001110…
…1100110100000
31102200222122120
41032131212200
520231142410
62012504240
7336554262
oct116354640
942628576
1020568480
1110679449
126a7b080
1343520ca
142a35b32
151c14570
hex139d9a0

20568480 has 96 divisors (see below), whose sum is σ = 65790144. Its totient is φ = 5400576.

The previous prime is 20568461. The next prime is 20568497. The reversal of 20568480 is 8486502.

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

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, 34747 + ... + 35333.

It is an arithmetic number, because the mean of its divisors is an integer number (685314).

Almost surely, 220568480 is an apocalyptic number.

20568480 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 20568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32895072).

20568480 is an abundant number, since it is smaller than the sum of its proper divisors (45221664).

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

20568480 is a wasteful number, since it uses less digits than its factorization.

20568480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 20568480 is about 4535.2486150155. The cubic root of 20568480 is about 273.9895923729.

The spelling of 20568480 in words is "twenty million, five hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 587 730 876 1095 1168 1174 1460 1752 1761 2190 2336 2348 2920 2935 3504 3522 4380 4696 5840 5870 7008 7044 8760 8805 9392 11680 11740 14088 17520 17610 18784 23480 28176 35040 35220 42851 46960 56352 70440 85702 93920 128553 140880 171404 214255 257106 281760 342808 428510 514212 642765 685616 857020 1028424 1285530 1371232 1714040 2056848 2571060 3428080 4113696 5142120 6856160 10284240 20568480