Search a number
-
+
1029324420 = 223255718469
BaseRepresentation
bin111101010110100…
…011111010000100
32122201212002122200
4331112203322010
54102001340140
6250045554500
734336053555
oct7526437204
92581762580
101029324420
11489032743
12248875a30
13135336807
149a9c232c
1560575030
hex3d5a3e84

1029324420 has 36 divisors (see below), whose sum is σ = 3122284620. Its totient is φ = 274486464.

The previous prime is 1029324397. The next prime is 1029324421. The reversal of 1029324420 is 244239201.

It can be written as a sum of positive squares in 2 ways, for example, as 362445444 + 666878976 = 19038^2 + 25824^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1029324421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2859055 + ... + 2859414.

Almost surely, 21029324420 is an apocalyptic number.

1029324420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029324420 is an abundant number, since it is smaller than the sum of its proper divisors (2092960200).

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

1029324420 is a wasteful number, since it uses less digits than its factorization.

1029324420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718484 (or 5718479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1029324420 is about 32083.0861981824. The cubic root of 1029324420 is about 1009.6807866170.

The spelling of 1029324420 in words is "one billion, twenty-nine million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5718469 11436938 17155407 22873876 28592345 34310814 51466221 57184690 68621628 85777035 102932442 114369380 171554070 205864884 257331105 343108140 514662210 1029324420