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1430008020 = 223457196637
BaseRepresentation
bin101010100111100…
…0011000011010100
310200122210221020000
41111033003003110
510412040224040
6353522011300
750302603410
oct12517030324
93618727200
101430008020
11674225211
1233aaa6b30
1319a3572bc
14d7cc3d40
1585821130
hex553c30d4

1430008020 has 240 divisors, whose sum is σ = 5397490560. Its totient is φ = 309609216.

The previous prime is 1430007991. The next prime is 1430008051. The reversal of 1430008020 is 208000341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1430007984 and 1430008002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212142 + ... + 218778.

It is an arithmetic number, because the mean of its divisors is an integer number (22489544).

Almost surely, 21430008020 is an apocalyptic number.

1430008020 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 1430008020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698745280).

1430008020 is an abundant number, since it is smaller than the sum of its proper divisors (3967482540).

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

1430008020 is a wasteful number, since it uses less digits than its factorization.

1430008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1430008020 is about 37815.4468438494. The cubic root of 1430008020 is about 1126.6252775120.

Adding to 1430008020 its reverse (208000341), we get a palindrome (1638008361).

The spelling of 1430008020 in words is "one billion, four hundred thirty million, eight thousand, twenty".