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1328087430 = 2325173128001
BaseRepresentation
bin100111100101001…
…0000000110000110
310102120000211110100
41033022100012012
510204442244210
6335441304530
744624362005
oct11712200606
93376024410
101328087430
1162174181a
12310935146
131821c0567
14c8552c3c
157b8dc5c0
hex4f290186

1328087430 has 96 divisors (see below), whose sum is σ = 3774221568. Its totient is φ = 322560000.

The previous prime is 1328087429. The next prime is 1328087437. The reversal of 1328087430 is 347808231.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328087437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33430 + ... + 61430.

It is an arithmetic number, because the mean of its divisors is an integer number (39314808).

Almost surely, 21328087430 is an apocalyptic number.

1328087430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328087430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887110784).

1328087430 is an abundant number, since it is smaller than the sum of its proper divisors (2446134138).

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

1328087430 is a wasteful number, since it uses less digits than its factorization.

1328087430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28062 (or 28059 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1328087430 is about 36442.9338829903. The cubic root of 1328087430 is about 1099.1970531487.

The spelling of 1328087430 in words is "one billion, three hundred twenty-eight million, eighty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 930 1054 1395 1530 1581 2635 2790 3162 4743 5270 7905 9486 15810 23715 28001 47430 56002 84003 140005 168006 252009 280010 420015 476017 504018 840030 868031 952034 1260045 1428051 1736062 2380085 2520090 2604093 2856102 4284153 4340155 4760170 5208186 7140255 7812279 8568306 8680310 13020465 14280510 14756527 15624558 21420765 26040930 29513054 39061395 42841530 44269581 73782635 78122790 88539162 132808743 147565270 221347905 265617486 442695810 664043715 1328087430