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1420686680 = 235729317317
BaseRepresentation
bin101010010101101…
…1111010101011000
310200000021100202012
41110223133111120
510402143433210
6352550125052
750130431450
oct12453372530
93600240665
101420686680
11669a38a26
12337950788
1319844260a
14d6978d60
1584ace305
hex54adf558

1420686680 has 64 divisors (see below), whose sum is σ = 3665874240. Its totient is φ = 485402112.

The previous prime is 1420686667. The next prime is 1420686689. The reversal of 1420686680 is 866860241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420686689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73382 + ... + 90698.

It is an arithmetic number, because the mean of its divisors is an integer number (57279285).

Almost surely, 21420686680 is an apocalyptic number.

1420686680 is a gapful number since it is divisible by the number (10) 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 1420686680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832937120).

1420686680 is an abundant number, since it is smaller than the sum of its proper divisors (2245187560).

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

1420686680 is a wasteful number, since it uses less digits than its factorization.

1420686680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17628 (or 17624 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 1420686680 is about 37691.9975591637. The cubic root of 1420686680 is about 1124.1720143016.

The spelling of 1420686680 in words is "one billion, four hundred twenty million, six hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 293 586 1172 1465 2051 2344 2930 4102 5860 8204 10255 11720 16408 17317 20510 34634 41020 69268 82040 86585 121219 138536 173170 242438 346340 484876 606095 692680 969752 1212190 2424380 4848760 5073881 10147762 20295524 25369405 35517167 40591048 50738810 71034334 101477620 142068668 177585835 202955240 284137336 355171670 710343340 1420686680