Search a number
-
+
1142640408 = 2337213312411
BaseRepresentation
bin100010000011011…
…0100111100011000
32221122002010222010
41010012310330120
54320003443113
6305214425520
740213166100
oct10406647430
92848063863
101142640408
11536a99718
1227a8022a0
131529602b0
14aba7c200
156a4aa1c3
hex441b4f18

1142640408 has 192 divisors, whose sum is σ = 3695569920. Its totient is φ = 291513600.

The previous prime is 1142640407. The next prime is 1142640451. The reversal of 1142640408 is 8040462411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142640407) 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 47 ways as a sum of consecutive naturals, for example, 472723 + ... + 475133.

It is an arithmetic number, because the mean of its divisors is an integer number (19247760).

Almost surely, 21142640408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142640408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847784960).

1142640408 is an abundant number, since it is smaller than the sum of its proper divisors (2552929512).

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

1142640408 is a wasteful number, since it uses less digits than its factorization.

1142640408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1142640408 is about 33802.9644853820. The cubic root of 1142640408 is about 1045.4498213794.

The spelling of 1142640408 in words is "one billion, one hundred forty-two million, six hundred forty thousand, four hundred eight".