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1320998085 = 335111946819
BaseRepresentation
bin100111010111100…
…1101010011000101
310102001200122201000
41032233031103011
510201133414320
6335025323513
744510204241
oct11657152305
93361618630
101320998085
1161873a460
1230a496599
131808aa794
14c7629421
157ae8bc90
hex4ebcd4c5

1320998085 has 64 divisors (see below), whose sum is σ = 2696832000. Its totient is φ = 606761280.

The previous prime is 1320998069. The next prime is 1320998099. The reversal of 1320998085 is 5808990231.

It is a happy number.

It is not a de Polignac number, because 1320998085 - 24 = 1320998069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1320998085.

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 63 ways as a sum of consecutive naturals, for example, 4806 + ... + 51624.

It is an arithmetic number, because the mean of its divisors is an integer number (42138000).

Almost surely, 21320998085 is an apocalyptic number.

1320998085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1320998085 is an abundant number, since it is smaller than the sum of its proper divisors (1375833915).

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

1320998085 is a wasteful number, since it uses less digits than its factorization.

1320998085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46863 (or 46857 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1320998085 is about 36345.5373464198. The cubic root of 1320998085 is about 1097.2377207883.

The spelling of 1320998085 in words is "one billion, three hundred twenty million, nine hundred ninety-eight thousand, eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 95 99 135 165 171 209 285 297 495 513 627 855 1045 1485 1881 2565 3135 5643 9405 28215 46819 140457 234095 421371 515009 702285 889561 1264113 1545027 2106855 2575045 2668683 4447805 4635081 6320565 7725135 8006049 9785171 13343415 13905243 23175405 24018147 29355513 40030245 48925855 69526215 88066539 120090735 146777565 264199617 440332695 1320998085