Search a number
-
+
458146120 = 23511453653
BaseRepresentation
bin11011010011101…
…100000101001000
31011221002020022211
4123103230011020
51414241133440
6113243354504
714232114655
oct3323540510
91157066284
10458146120
1121567aa63
12109522a34
1373bbc7a3
1444bbcc2c
152a34beea
hex1b4ec148

458146120 has 16 divisors (see below), whose sum is σ = 1030828860. Its totient is φ = 183258432.

The previous prime is 458146103. The next prime is 458146127. The reversal of 458146120 is 21641854.

It can be written as a sum of positive squares in 2 ways, for example, as 436224996 + 21921124 = 20886^2 + 4682^2 .

It is not an unprimeable number, because it can be changed into a prime (458146127) 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 3 ways as a sum of consecutive naturals, for example, 5726787 + ... + 5726866.

Almost surely, 2458146120 is an apocalyptic number.

458146120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458146120 is an abundant number, since it is smaller than the sum of its proper divisors (572682740).

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

458146120 is a wasteful number, since it uses less digits than its factorization.

458146120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453664 (or 11453660 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 458146120 is about 21404.3481563910. The cubic root of 458146120 is about 770.9058434703.

Adding to 458146120 its reverse (21641854), we get a palindrome (479787974).

The spelling of 458146120 in words is "four hundred fifty-eight million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11453653 22907306 45814612 57268265 91629224 114536530 229073060 458146120