Search a number
-
+
1142160480 = 25335419631
BaseRepresentation
bin100010000010011…
…1111110001100000
32221121011202122000
41010010333301200
54314343113410
6305200244000
740206126636
oct10404776140
92847152560
101142160480
115367a108a
1227a610600
13152822a06
14ab995356
156a412dc0
hex4413fc60

1142160480 has 192 divisors, whose sum is σ = 4013452800. Its totient is φ = 303367680.

The previous prime is 1142160443. The next prime is 1142160517. The reversal of 1142160480 is 840612411.

It is a happy number.

1142160480 is a `hidden beast` number, since 11 + 42 + 1 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1142160443) and next prime (1142160517).

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 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, 1809765 + ... + 1810395.

It is an arithmetic number, because the mean of its divisors is an integer number (20903400).

Almost surely, 21142160480 is an apocalyptic number.

1142160480 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 1142160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006726400).

1142160480 is an abundant number, since it is smaller than the sum of its proper divisors (2871292320).

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

1142160480 is a wasteful number, since it uses less digits than its factorization.

1142160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1142160480 is about 33795.8648358050. The cubic root of 1142160480 is about 1045.3034321038.

Adding to 1142160480 its reverse (840612411), we get a palindrome (1982772891).

The spelling of 1142160480 in words is "one billion, one hundred forty-two million, one hundred sixty thousand, four hundred eighty".