Search a number
-
+
1450214000 = 24536111887
BaseRepresentation
bin101011001110000…
…1000001001110000
310202001211111121122
41112130020021300
510432223322000
6355523041412
750636421104
oct12634101160
93661744548
101450214000
11684676274
12345810268
131a15b03c1
14da863904
15874b3085
hex56708270

1450214000 has 80 divisors (see below), whose sum is σ = 3564402816. Its totient is φ = 570528000.

The previous prime is 1450213987. The next prime is 1450214011. The reversal of 1450214000 is 4120541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1450214000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116057 + ... + 127943.

Almost surely, 21450214000 is an apocalyptic number.

1450214000 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 1450214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782201408).

1450214000 is an abundant number, since it is smaller than the sum of its proper divisors (2114188816).

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

1450214000 is a wasteful number, since it uses less digits than its factorization.

1450214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1450214000 is about 38081.6753833126. The cubic root of 1450214000 is about 1131.9068750988.

Adding to 1450214000 its reverse (4120541), we get a palindrome (1454334541).

The spelling of 1450214000 in words is "one billion, four hundred fifty million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 11887 12200 15250 23774 24400 30500 47548 59435 61000 95096 118870 122000 190192 237740 297175 475480 594350 725107 950960 1188700 1450214 1485875 2377400 2900428 2971750 3625535 4754800 5800856 5943500 7251070 11601712 11887000 14502140 18127675 23774000 29004280 36255350 58008560 72510700 90638375 145021400 181276750 290042800 362553500 725107000 1450214000