Search a number
-
+
1453425120 = 25345737433
BaseRepresentation
bin101011010100001…
…1000000111100000
310202021212122110000
41112220120013200
510434034100440
6400115540000
751005624010
oct12650300740
93667778400
101453425120
11686469894
123468ba600
131a2165b84
14db05bc40
15878e9730
hex56a181e0

1453425120 has 480 divisors, whose sum is σ = 6034488768. Its totient is φ = 322486272.

The previous prime is 1453425107. The next prime is 1453425137. The reversal of 1453425120 is 215243541.

1453425120 is a `hidden beast` number, since 1 + 4 + 534 + 2 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×14534251202 = 4224889158894028800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3356424 + ... + 3356856.

Almost surely, 21453425120 is an apocalyptic number.

1453425120 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 1453425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017244384).

1453425120 is an abundant number, since it is smaller than the sum of its proper divisors (4581063648).

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

1453425120 is a wasteful number, since it uses less digits than its factorization.

1453425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1453425120 is about 38123.8130307030. The cubic root of 1453425120 is about 1132.7416965827.

Adding to 1453425120 its reverse (215243541), we get a palindrome (1668668661).

The spelling of 1453425120 in words is "one billion, four hundred fifty-three million, four hundred twenty-five thousand, one hundred twenty".