Search a number
-
+
1045242000 = 243253115279
BaseRepresentation
bin111110010011010…
…010000010010000
32200211210210110200
4332103102002100
54120040221000
6251415055200
734621260525
oct7623220220
92624723420
101045242000
11497014870
12252071500
1313871a9ba
149cb6714c
1561b6b500
hex3e4d2090

1045242000 has 240 divisors, whose sum is σ = 3983316480. Its totient is φ = 253344000.

The previous prime is 1045241999. The next prime is 1045242001. The reversal of 1045242000 is 2425401.

1045242000 is a `hidden beast` number, since 10 + 452 + 4 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1045241999) and next prime (1045242001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1045242001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195361 + ... + 200639.

It is an arithmetic number, because the mean of its divisors is an integer number (16597152).

Almost surely, 21045242000 is an apocalyptic number.

1045242000 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 1045242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991658240).

1045242000 is an abundant number, since it is smaller than the sum of its proper divisors (2938074480).

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

1045242000 is a wasteful number, since it uses less digits than its factorization.

1045242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1045242000 is about 32330.2025975712. The cubic root of 1045242000 is about 1014.8587895150.

Adding to 1045242000 its reverse (2425401), we get a palindrome (1047667401).

The spelling of 1045242000 in words is "one billion, forty-five million, two hundred forty-two thousand".