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20429360 = 24571912
BaseRepresentation
bin100110111101…
…1101000110000
31102102220210222
41031323220300
520212214420
62005512212
7335434550
oct115735060
942386728
1020429360
1110593976
126a12668
1343039a3
1429db160
151bd8225
hex137ba30

20429360 has 60 divisors (see below), whose sum is σ = 54569424. Its totient is φ = 6967680.

The previous prime is 20429333. The next prime is 20429363. The reversal of 20429360 is 6392402.

It is not an unprimeable number, because it can be changed into a prime (20429363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106865 + ... + 107055.

Almost surely, 220429360 is an apocalyptic number.

20429360 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 20429360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27284712).

20429360 is an abundant number, since it is smaller than the sum of its proper divisors (34140064).

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

20429360 is an equidigital number, since it uses as much as digits as its factorization.

20429360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 20429360 is about 4519.8849542881. The cubic root of 20429360 is about 273.3704622707.

The spelling of 20429360 in words is "twenty million, four hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 191 280 382 560 764 955 1337 1528 1910 2674 3056 3820 5348 6685 7640 10696 13370 15280 21392 26740 36481 53480 72962 106960 145924 182405 255367 291848 364810 510734 583696 729620 1021468 1276835 1459240 2042936 2553670 2918480 4085872 5107340 10214680 20429360