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20429080 = 235731489
BaseRepresentation
bin100110111101…
…1100100011000
31102102220102121
41031323210120
520212212310
62005511024
7335434000
oct115734430
942386377
1020429080
1110593741
126a12474
134303819
1429db000
151bd80da
hex137b918

20429080 has 64 divisors (see below), whose sum is σ = 53640000. Its totient is φ = 6999552.

The previous prime is 20429077. The next prime is 20429081. The reversal of 20429080 is 8092402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20429081) 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 15 ways as a sum of consecutive naturals, for example, 12976 + ... + 14464.

It is an arithmetic number, because the mean of its divisors is an integer number (838125).

Almost surely, 220429080 is an apocalyptic number.

20429080 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 20429080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26820000).

20429080 is an abundant number, since it is smaller than the sum of its proper divisors (33210920).

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

20429080 is a wasteful number, since it uses less digits than its factorization.

20429080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 20429080 is about 4519.8539799423. The cubic root of 20429080 is about 273.3692133479.

The spelling of 20429080 in words is "twenty million, four hundred twenty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1489 1715 1960 2744 2978 3430 5956 6860 7445 10423 11912 13720 14890 20846 29780 41692 52115 59560 72961 83384 104230 145922 208460 291844 364805 416920 510727 583688 729610 1021454 1459220 2042908 2553635 2918440 4085816 5107270 10214540 20429080