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1450725120 = 28335133229
BaseRepresentation
bin101011001111000…
…0100111100000000
310202002210110202000
41112132010330000
510432341200440
6355542024000
750643650205
oct12636047400
93662713660
101450725120
11684995289
12345a18000
131a172bc40
14da957cac
1587564730
hex56784f00

1450725120 has 288 divisors, whose sum is σ = 5545780800. Its totient is φ = 356990976.

The previous prime is 1450725109. The next prime is 1450725127. The reversal of 1450725120 is 215270541.

1450725120 is a `hidden beast` number, since 14 + 507 + 25 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450725127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447666 + ... + 450894.

Almost surely, 21450725120 is an apocalyptic number.

1450725120 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 1450725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772890400).

1450725120 is an abundant number, since it is smaller than the sum of its proper divisors (4095055680).

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

1450725120 is a wasteful number, since it uses less digits than its factorization.

1450725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1450725120 is about 38088.3856313181. The cubic root of 1450725120 is about 1132.0398376104.

Adding to 1450725120 its reverse (215270541), we get a palindrome (1665995661).

The spelling of 1450725120 in words is "one billion, four hundred fifty million, seven hundred twenty-five thousand, one hundred twenty".