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1440406680 = 233512003389
BaseRepresentation
bin101010111011010…
…1101110010011000
310201101101020111120
41111312231302120
510422221003210
6354532525240
750460153246
oct12566556230
93641336446
101440406680
1167a087949
12342480820
1319c55845b
14d942d796
15866c7270
hex55dadc98

1440406680 has 32 divisors (see below), whose sum is σ = 4321220400. Its totient is φ = 384108416.

The previous prime is 1440406679. The next prime is 1440406783. The reversal of 1440406680 is 866040441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6001575 + ... + 6001814.

Almost surely, 21440406680 is an apocalyptic number.

1440406680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440406680 is an abundant number, since it is smaller than the sum of its proper divisors (2880813720).

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

1440406680 is a wasteful number, since it uses less digits than its factorization.

1440406680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003403 (or 12003399 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1440406680 is about 37952.6900232381. The cubic root of 1440406680 is about 1129.3495303547.

It can be divided in two parts, 1 and 440406680, that added together give a triangular number (440406681 = T29678).

The spelling of 1440406680 in words is "one billion, four hundred forty million, four hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12003389 24006778 36010167 48013556 60016945 72020334 96027112 120033890 144040668 180050835 240067780 288081336 360101670 480135560 720203340 1440406680