[go: up one dir, main page]

Search a number
-
+
1459402080 = 25354576653
BaseRepresentation
bin101011011111100…
…1011010101100000
310202201010022021220
41112333023111200
510442101331310
6400452015040
751110466363
oct12677132540
93681108256
101459402080
11689881424
12348901480
131a3479536
14dbb760da
15881ca670
hex56fcb560

1459402080 has 96 divisors (see below), whose sum is σ = 4607868384. Its totient is φ = 388263936.

The previous prime is 1459402079. The next prime is 1459402099. The reversal of 1459402080 is 802049541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14594020802 = 4259708862216652800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 216034 + ... + 222686.

It is an arithmetic number, because the mean of its divisors is an integer number (47998629).

Almost surely, 21459402080 is an apocalyptic number.

1459402080 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 1459402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303934192).

1459402080 is an abundant number, since it is smaller than the sum of its proper divisors (3148466304).

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

1459402080 is a wasteful number, since it uses less digits than its factorization.

1459402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1459402080 is about 38202.1214070632. The cubic root of 1459402080 is about 1134.2923079003.

The spelling of 1459402080 in words is "one billion, four hundred fifty-nine million, four hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 457 480 914 1371 1828 2285 2742 3656 4570 5484 6653 6855 7312 9140 10968 13306 13710 14624 18280 19959 21936 26612 27420 33265 36560 39918 43872 53224 54840 66530 73120 79836 99795 106448 109680 133060 159672 199590 212896 219360 266120 319344 399180 532240 638688 798360 1064480 1596720 3040421 3193440 6080842 9121263 12161684 15202105 18242526 24323368 30404210 36485052 45606315 48646736 60808420 72970104 91212630 97293472 121616840 145940208 182425260 243233680 291880416 364850520 486467360 729701040 1459402080