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1428188240 = 24543415171
BaseRepresentation
bin101010100100000…
…0110110001010000
310200112101110221202
41111020012301100
510411104010430
6353415010332
750251254053
oct12510066120
93615343852
101428188240
116731a1a66
1233a3699a8
13199b6abcb
14d796ca9a
15855b1d45
hex55206c50

1428188240 has 40 divisors (see below), whose sum is σ = 3397767648. Its totient is φ = 557988480.

The previous prime is 1428188231. The next prime is 1428188263. The reversal of 1428188240 is 428818241.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1428188194 and 1428188203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204146 + ... + 211025.

Almost surely, 21428188240 is an apocalyptic number.

1428188240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1428188240 is an abundant number, since it is smaller than the sum of its proper divisors (1969579408).

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

1428188240 is a wasteful number, since it uses less digits than its factorization.

1428188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415227 (or 415221 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 1428188240 is about 37791.3778526266. The cubic root of 1428188240 is about 1126.1471728649.

The spelling of 1428188240 in words is "one billion, four hundred twenty-eight million, one hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 415171 830342 1660684 2075855 3321368 4151710 6642736 8303420 16606840 17852353 33213680 35704706 71409412 89261765 142818824 178523530 285637648 357047060 714094120 1428188240