Search a number
-
+
1242074020 = 2251148711593
BaseRepresentation
bin100101000001000…
…1000101110100100
310012120011220020111
41022002020232210
510020432332040
6323125542404
742531312025
oct11202105644
93176156214
101242074020
11588133660
122a7b74a04
1316a436055
14bad62c4c
157409bdea
hex4a088ba4

1242074020 has 48 divisors (see below), whose sum is σ = 2851567488. Its totient is φ = 450696960.

The previous prime is 1242074017. The next prime is 1242074021. The reversal of 1242074020 is 204702421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1242073982 and 1242074000.

It is not an unprimeable number, because it can be changed into a prime (1242074021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101344 + ... + 112936.

It is an arithmetic number, because the mean of its divisors is an integer number (59407656).

Almost surely, 21242074020 is an apocalyptic number.

1242074020 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 1242074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425783744).

1242074020 is an abundant number, since it is smaller than the sum of its proper divisors (1609493468).

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

1242074020 is a wasteful number, since it uses less digits than its factorization.

1242074020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100 (or 12098 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 1242074020 is about 35243.0705245726. The cubic root of 1242074020 is about 1074.9357149227.

Adding to 1242074020 its reverse (204702421), we get a palindrome (1446776441).

The spelling of 1242074020 in words is "one billion, two hundred forty-two million, seventy-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 487 974 1948 2435 4870 5357 9740 10714 11593 21428 23186 26785 46372 53570 57965 107140 115930 127523 231860 255046 510092 637615 1275230 2550460 5645791 11291582 22583164 28228955 56457910 62103701 112915820 124207402 248414804 310518505 621037010 1242074020