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1430200240 = 2457352121
BaseRepresentation
bin101010100111111…
…0001111110110000
310200200011200220021
41111033301332300
510412112401430
6353530053224
750304334000
oct12517617660
93620150807
101430200240
11674346677
1233ab7a214
1319a3c3941
14d7d34000
158585d07a
hex553f1fb0

1430200240 has 80 divisors (see below), whose sum is σ = 3877876800. Its totient is φ = 490344960.

The previous prime is 1430200231. The next prime is 1430200267. The reversal of 1430200240 is 420020341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1380 + ... + 53500.

It is an arithmetic number, because the mean of its divisors is an integer number (48473460).

Almost surely, 21430200240 is an apocalyptic number.

1430200240 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 1430200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938938400).

1430200240 is an abundant number, since it is smaller than the sum of its proper divisors (2447676560).

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

1430200240 is an equidigital number, since it uses as much as digits as its factorization.

1430200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52155 (or 52135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1430200240 is about 37817.9883124420. The cubic root of 1430200240 is about 1126.6757551329.

Adding to 1430200240 its reverse (420020341), we get a palindrome (1850220581).

The spelling of 1430200240 in words is "one billion, four hundred thirty million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 52121 104242 208484 260605 364847 416968 521210 729694 833936 1042420 1459388 1824235 2084840 2553929 2918776 3648470 4169680 5107858 5837552 7296940 10215716 12769645 14593880 17877503 20431432 25539290 29187760 35755006 40862864 51078580 71510012 89387515 102157160 143020024 178775030 204314320 286040048 357550060 715100120 1430200240