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2059439440 = 24525742993
BaseRepresentation
bin111101011000000…
…1000110101010000
312022112012100210211
41322300020311100
513204204030230
6540204533504
7102014642422
oct17260106520
95275170724
102059439440
11967555373
12495851294
1326a889126
1415772c812
15c0c0442a
hex7ac08d50

2059439440 has 20 divisors (see below), whose sum is σ = 4788196884. Its totient is φ = 823775744.

The previous prime is 2059439423. The next prime is 2059439453. The reversal of 2059439440 is 449349502.

It can be written as a sum of positive squares in 2 ways, for example, as 1506060864 + 553378576 = 38808^2 + 23524^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2059439393 and 2059439402.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12871417 + ... + 12871576.

Almost surely, 22059439440 is an apocalyptic number.

2059439440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2059439440 is an abundant number, since it is smaller than the sum of its proper divisors (2728757444).

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

2059439440 is a wasteful number, since it uses less digits than its factorization.

2059439440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25743006 (or 25743000 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 2059439440 is about 45381.0471452566. The cubic root of 2059439440 is about 1272.2809032455.

The spelling of 2059439440 in words is "two billion, fifty-nine million, four hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25742993 51485986 102971972 128714965 205943944 257429930 411887888 514859860 1029719720 2059439440