Search a number
-
+
1021242000 = 24353170207
BaseRepresentation
bin111100110111101…
…110101010010000
32122011122110122210
4330313232222100
54042414221000
6245200432120
734210261632
oct7467565220
92564573583
101021242000
11484512259
12246018640
13133766a0c
14998baa52
155e9ca350
hex3cdeea90

1021242000 has 80 divisors (see below), whose sum is σ = 3292503552. Its totient is φ = 272329600.

The previous prime is 1021241987. The next prime is 1021242011. The reversal of 1021242000 is 2421201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79104 + ... + 91103.

Almost surely, 21021242000 is an apocalyptic number.

1021242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021242000 is an abundant number, since it is smaller than the sum of its proper divisors (2271261552).

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

1021242000 is a wasteful number, since it uses less digits than its factorization.

1021242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170233 (or 170217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1021242000 is about 31956.8771941190. The cubic root of 1021242000 is about 1007.0311142346.

Adding to 1021242000 its reverse (2421201), we get a palindrome (1023663201).

The spelling of 1021242000 in words is "one billion, twenty-one million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 170207 340414 510621 680828 851035 1021242 1361656 1702070 2042484 2553105 2723312 3404140 4084968 4255175 5106210 6808280 8169936 8510350 10212420 12765525 13616560 17020700 20424840 21275875 25531050 34041400 40849680 42551750 51062100 63827625 68082800 85103500 102124200 127655250 170207000 204248400 255310500 340414000 510621000 1021242000