Search a number
-
+
1445920 = 25571291
BaseRepresentation
bin101100001000000100000
32201110102121
411201000200
5332232140
650554024
715201340
oct5410040
92643377
101445920
118a8383
12598914
133b8198
14298d20
151d864a
hex161020

1445920 has 48 divisors (see below), whose sum is σ = 3907008. Its totient is φ = 495360.

The previous prime is 1445887. The next prime is 1445921. The reversal of 1445920 is 295441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475 + ... + 1765.

It is an arithmetic number, because the mean of its divisors is an integer number (81396).

21445920 is an apocalyptic number.

1445920 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 1445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953504).

1445920 is an abundant number, since it is smaller than the sum of its proper divisors (2461088).

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

1445920 is a wasteful number, since it uses less digits than its factorization.

1445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1445920 is about 1202.4641366793. The cubic root of 1445920 is about 113.0788600334.

It can be divided in two parts, 14459 and 20, that multiplied together give a triangular number (289180 = T760).

The spelling of 1445920 in words is "one million, four hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1291 2582 5164 6455 9037 10328 12910 18074 20656 25820 36148 41312 45185 51640 72296 90370 103280 144592 180740 206560 289184 361480 722960 1445920