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2059219040 = 25573176303
BaseRepresentation
bin111101010111101…
…0011000001100000
312022111210011110212
41322233103001200
513204130002130
6540200113252
7102013034024
oct17257230140
95274704425
102059219040
1196741481a
12495765828
1326a80ca08
141576b2384
15c0bade95
hex7abd3060

2059219040 has 48 divisors (see below), whose sum is σ = 4931575488. Its totient is φ = 812399616.

The previous prime is 2059219039. The next prime is 2059219079. The reversal of 2059219040 is 409129502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2059218988 and 2059219006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76472 + ... + 99831.

It is an arithmetic number, because the mean of its divisors is an integer number (102741156).

Almost surely, 22059219040 is an apocalyptic number.

2059219040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2059219040 is an abundant number, since it is smaller than the sum of its proper divisors (2872356448).

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

2059219040 is a wasteful number, since it uses less digits than its factorization.

2059219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176391 (or 176383 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 2059219040 is about 45378.6187537699. The cubic root of 2059219040 is about 1272.2355153745.

The spelling of 2059219040 in words is "two billion, fifty-nine million, two hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 176303 352606 705212 881515 1410424 1763030 2820848 3526060 5641696 7052120 12870119 14104240 25740238 28208480 51480476 64350595 102960952 128701190 205921904 257402380 411843808 514804760 1029609520 2059219040