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20290080 = 2535411031
BaseRepresentation
bin100110101100…
…1101000100000
31102011211202110
41031121220200
520143240310
62002515320
7334314516
oct115315040
942154673
1020290080
11104a9268
126965b40
134285485
1429a24b6
151babd20
hex1359a20

20290080 has 96 divisors (see below), whose sum is σ = 65536128. Its totient is φ = 5273600.

The previous prime is 20290051. The next prime is 20290091. The reversal of 20290080 is 8009202.

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, 19165 + ... + 20195.

It is an arithmetic number, because the mean of its divisors is an integer number (682668).

Almost surely, 220290080 is an apocalyptic number.

20290080 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 20290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768064).

20290080 is an abundant number, since it is smaller than the sum of its proper divisors (45246048).

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

20290080 is a wasteful number, since it uses less digits than its factorization.

20290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20290080 is about 4504.4511319361. The cubic root of 20290080 is about 272.7477980512.

Adding to 20290080 its reverse (8009202), we get a palindrome (28299282).

The spelling of 20290080 in words is "twenty million, two hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1031 1230 1312 1640 1968 2062 2460 3093 3280 3936 4124 4920 5155 6186 6560 8248 9840 10310 12372 15465 16496 19680 20620 24744 30930 32992 41240 42271 49488 61860 82480 84542 98976 123720 126813 164960 169084 211355 247440 253626 338168 422710 494880 507252 634065 676336 845420 1014504 1268130 1352672 1690840 2029008 2536260 3381680 4058016 5072520 6763360 10145040 20290080