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1430120020 = 225721148413
BaseRepresentation
bin101010100111101…
…1110011001010100
310200200000121212011
41111033132121110
510412102320040
6353524234004
750303551060
oct12517363124
93620017764
101430120020
116742a137a
1233ab3b904
1319a396284
14d7d12aa0
15858443ea
hex553de654

1430120020 has 48 divisors (see below), whose sum is σ = 3448626048. Its totient is φ = 487992960.

The previous prime is 1430120011. The next prime is 1430120047. The reversal of 1430120020 is 200210341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5334 + ... + 53746.

It is an arithmetic number, because the mean of its divisors is an integer number (71846376).

Almost surely, 21430120020 is an apocalyptic number.

1430120020 is a gapful number since it is divisible by the number (10) 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 1430120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724313024).

1430120020 is an abundant number, since it is smaller than the sum of its proper divisors (2018506028).

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

1430120020 is a wasteful number, since it uses less digits than its factorization.

1430120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48640 (or 48638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1430120020 is about 37816.9276911808. The cubic root of 1430120020 is about 1126.6546896400.

Adding to 1430120020 its reverse (200210341), we get a palindrome (1630330361).

The spelling of 1430120020 in words is "one billion, four hundred thirty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 4220 5908 7385 14770 29540 48413 96826 193652 242065 338891 484130 677782 968260 1355564 1694455 3388910 6777820 10215143 20430286 40860572 51075715 71506001 102151430 143012002 204302860 286024004 357530005 715060010 1430120020