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1424519040 = 27357831277
BaseRepresentation
bin101010011101000…
…0110111110000000
310200021111001202110
41110322012332000
510404134102130
6353204215320
750205132510
oct12472067600
93607431673
101424519040
1167111626a
1233909a540
13199184a99
14d7295840
15850d9ab0
hex54e86f80

1424519040 has 256 divisors, whose sum is σ = 5255953920. Its totient is φ = 321429504.

The previous prime is 1424519039. The next prime is 1424519059. The reversal of 1424519040 is 409154241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1424518989 and 1424519007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114882 + ... + 1116158.

It is an arithmetic number, because the mean of its divisors is an integer number (20531070).

Almost surely, 21424519040 is an apocalyptic number.

1424519040 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 1424519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627976960).

1424519040 is an abundant number, since it is smaller than the sum of its proper divisors (3831434880).

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

1424519040 is a wasteful number, since it uses less digits than its factorization.

1424519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1424519040 is about 37742.8011679049. The cubic root of 1424519040 is about 1125.1819399570.

The spelling of 1424519040 in words is "one billion, four hundred twenty-four million, five hundred nineteen thousand, forty".