Search a number
-
+
1142808576 = 2133721373
BaseRepresentation
bin100010000011101…
…1110000000000000
32221122101200122120
41010013132000000
54320024333301
6305222204240
740214466300
oct10407360000
92848350576
101142808576
115370a3aa8
1227a883680
131529bb9c0
14abac3600
156a4dee36
hex441de000

1142808576 has 336 divisors, whose sum is σ = 3869795664. Its totient is φ = 297271296.

The previous prime is 1142808559. The next prime is 1142808617. The reversal of 1142808576 is 6758082411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11428085762 = 2612022882758295552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15654876 + ... + 15654948.

It is an arithmetic number, because the mean of its divisors is an integer number (11517249).

Almost surely, 21142808576 is an apocalyptic number.

1142808576 is a gapful number since it is divisible by the number (16) 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 1142808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934897832).

1142808576 is an abundant number, since it is smaller than the sum of its proper divisors (2726987088).

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

1142808576 is an equidigital number, since it uses as much as digits as its factorization.

1142808576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1142808576 is about 33805.4518680050. The cubic root of 1142808576 is about 1045.5011068582.

The spelling of 1142808576 in words is "one billion, one hundred forty-two million, eight hundred eight thousand, five hundred seventy-six".