Search a number
-
+
1454800000 = 27553637
BaseRepresentation
bin101011010110110…
…0111110010000000
310202101110111102111
41112231213302000
510434412100000
6400205225104
751023411263
oct12655476200
93671414374
101454800000
11687218855
12347262194
131a2527904
14db2d8cda
1587abbcba
hex56b67c80

1454800000 has 96 divisors (see below), whose sum is σ = 3623557140. Its totient is φ = 581760000.

The previous prime is 1454799967. The next prime is 1454800027. The reversal of 1454800000 is 84541.

It can be written as a sum of positive squares in 6 ways, for example, as 554319936 + 900480064 = 23544^2 + 30008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398182 + ... + 401818.

Almost surely, 21454800000 is an apocalyptic number.

1454800000 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 1454800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811778570).

1454800000 is an abundant number, since it is smaller than the sum of its proper divisors (2168757140).

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

1454800000 is an frugal number, since it uses more digits than its factorization.

1454800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1454800000 is about 38141.8405428999. The cubic root of 1454800000 is about 1133.0987596027.

Adding to 1454800000 its reverse (84541), we get a palindrome (1454884541).

The spelling of 1454800000 in words is "one billion, four hundred fifty-four million, eight hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 3637 4000 5000 6250 7274 8000 10000 12500 14548 16000 18185 20000 25000 29096 36370 40000 50000 58192 72740 80000 90925 100000 116384 145480 181850 200000 232768 290960 363700 400000 454625 465536 581920 727400 909250 1163840 1454800 1818500 2273125 2327680 2909600 3637000 4546250 5819200 7274000 9092500 11365625 11638400 14548000 18185000 22731250 29096000 36370000 45462500 58192000 72740000 90925000 145480000 181850000 290960000 363700000 727400000 1454800000