Search a number
-
+
1445324200 = 235240917669
BaseRepresentation
bin101011000100101…
…1110010110101000
310201201122002001221
41112021132112220
510430000333300
6355230151424
750550024115
oct12611362650
93651562057
101445324200
11681936511
12344052574
131a058a828
14d9d4d90c
1586d4931a
hex5625e5a8

1445324200 has 48 divisors (see below), whose sum is σ = 3368785500. Its totient is φ = 576683520.

The previous prime is 1445324189. The next prime is 1445324227. The reversal of 1445324200 is 24235441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 636149284 + 809174916 = 25222^2 + 28446^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 72966 + ... + 90634.

Almost surely, 21445324200 is an apocalyptic number.

1445324200 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 1445324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684392750).

1445324200 is an abundant number, since it is smaller than the sum of its proper divisors (1923461300).

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

1445324200 is a wasteful number, since it uses less digits than its factorization.

1445324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18094 (or 18085 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1445324200 is about 38017.4196915046. The cubic root of 1445324200 is about 1130.6332629237.

Adding to 1445324200 its reverse (24235441), we get a palindrome (1469559641).

The spelling of 1445324200 in words is "one billion, four hundred forty-five million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 409 818 1636 2045 3272 4090 8180 10225 16360 17669 20450 35338 40900 70676 81800 88345 141352 176690 353380 441725 706760 883450 1766900 3533800 7226621 14453242 28906484 36133105 57812968 72266210 144532420 180665525 289064840 361331050 722662100 1445324200