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1254442140 = 223457215803
BaseRepresentation
bin100101011000101…
…0100010010011100
310020102110021010000
41022301110102130
510032114122030
6324251014300
743041403500
oct11261242234
93212407100
101254442140
11594110a46
122b013a390
1316cb76773
14bc862300
15751e1860
hex4ac5449c

1254442140 has 180 divisors, whose sum is σ = 4578007896. Its totient is φ = 286711488.

The previous prime is 1254442081. The next prime is 1254442141. The reversal of 1254442140 is 412444521.

1254442140 is a `hidden beast` number, since 1 + 2 + 5 + 444 + 214 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (1254442141) 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 59 ways as a sum of consecutive naturals, for example, 71479 + ... + 87281.

Almost surely, 21254442140 is an apocalyptic number.

1254442140 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 1254442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289003948).

1254442140 is an abundant number, since it is smaller than the sum of its proper divisors (3323565756).

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

1254442140 is a wasteful number, since it uses less digits than its factorization.

1254442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1254442140 is about 35418.1046923745. The cubic root of 1254442140 is about 1078.4918765020.

Adding to 1254442140 its reverse (412444521), we get a palindrome (1666886661).

The spelling of 1254442140 in words is "one billion, two hundred fifty-four million, four hundred forty-two thousand, one hundred forty".