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2030786440 = 235313744263
BaseRepresentation
bin111100100001011…
…0101011110001000
312020112021122021121
41321002311132020
513124340131230
6533302445024
7101216254114
oct17102653610
95215248247
102030786440
11952364a01
12488133774
132649662a7
141539d0744
15bd44477a
hex790b5788

2030786440 has 64 divisors (see below), whose sum is σ = 4844252160. Its totient is φ = 764847360.

The previous prime is 2030786423. The next prime is 2030786473. The reversal of 2030786440 is 446870302.

It is a junction number, because it is equal to n+sod(n) for n = 2030786396 and 2030786405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23749 + ... + 68011.

It is an arithmetic number, because the mean of its divisors is an integer number (75691440).

Almost surely, 22030786440 is an apocalyptic number.

2030786440 is a gapful number since it is divisible by the number (20) 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 2030786440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422126080).

2030786440 is an abundant number, since it is smaller than the sum of its proper divisors (2813465720).

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

2030786440 is a wasteful number, since it uses less digits than its factorization.

2030786440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44342 (or 44338 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2030786440 is about 45064.2479133958. The cubic root of 2030786440 is about 1266.3529068972.

The spelling of 2030786440 in words is "two billion, thirty million, seven hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 248 296 310 370 620 740 1147 1240 1480 2294 4588 5735 9176 11470 22940 44263 45880 88526 177052 221315 354104 442630 885260 1372153 1637731 1770520 2744306 3275462 5488612 6550924 6860765 8188655 10977224 13101848 13721530 16377310 27443060 32754620 50769661 54886120 65509240 101539322 203078644 253848305 406157288 507696610 1015393220 2030786440