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429989980 = 225710329819
BaseRepresentation
bin11001101000010…
…010000001011100
31002222002202100211
4121220102001130
51340034134410
6110400102204
713440566050
oct3150220134
91088082324
10429989980
11200799922
12100004964
136b111b54
144116dc60
1527b3968a
hex19a1205c

429989980 has 48 divisors (see below), whose sum is σ = 1042030080. Its totient is φ = 145988928.

The previous prime is 429989977. The next prime is 429989999. The reversal of 429989980 is 89989924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490 + ... + 29329.

It is an arithmetic number, because the mean of its divisors is an integer number (21708960).

Almost surely, 2429989980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429989980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521015040).

429989980 is an abundant number, since it is smaller than the sum of its proper divisors (612040100).

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

429989980 is a wasteful number, since it uses less digits than its factorization.

429989980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29938 (or 29936 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The square root of 429989980 is about 20736.1997482663. The cubic root of 429989980 is about 754.7783686406.

The spelling of 429989980 in words is "four hundred twenty-nine million, nine hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 14420 29819 59638 119276 149095 208733 298190 417466 596380 834932 1043665 2087330 3071357 4174660 6142714 12285428 15356785 21499499 30713570 42998998 61427140 85997996 107497495 214994990 429989980