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1424242980 = 223356733919
BaseRepresentation
bin101010011100100…
…0011100100100100
310200020222001002000
41110321003210210
510404101233410
6353154245300
750202602616
oct12471034444
93606861060
101424242980
11670a47916
12338b86830
131990b9234
14d7222db6
1585082dc0
hex54e43924

1424242980 has 96 divisors (see below), whose sum is σ = 4438694400. Its totient is φ = 379137024.

The previous prime is 1424242979. The next prime is 1424242987. The reversal of 1424242980 is 892424241.

1424242980 is a `hidden beast` number, since 142 + 424 + 2 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1424242987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361461 + ... + 365379.

It is an arithmetic number, because the mean of its divisors is an integer number (46236400).

Almost surely, 21424242980 is an apocalyptic number.

1424242980 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 1424242980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219347200).

1424242980 is an abundant number, since it is smaller than the sum of its proper divisors (3014451420).

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

1424242980 is a wasteful number, since it uses less digits than its factorization.

1424242980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1424242980 is about 37739.1438694626. The cubic root of 1424242980 is about 1125.1092516122.

The spelling of 1424242980 in words is "one billion, four hundred twenty-four million, two hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 673 1346 2019 2692 3365 3919 4038 6057 6730 7838 8076 10095 11757 12114 13460 15676 18171 19595 20190 23514 24228 30285 35271 36342 39190 40380 47028 58785 60570 70542 72684 78380 90855 105813 117570 121140 141084 176355 181710 211626 235140 352710 363420 423252 529065 705420 1058130 2116260 2637487 5274974 7912461 10549948 13187435 15824922 23737383 26374870 31649844 39562305 47474766 52749740 71212149 79124610 94949532 118686915 142424298 158249220 237373830 284848596 356060745 474747660 712121490 1424242980