Search a number
-
+
1030141420 = 22571137101179
BaseRepresentation
bin111101011001101…
…011010111101100
32122210101121100221
4331121223113230
54102204011140
6250115301124
734346025520
oct7531532754
92583347327
101030141420
11489540550
12248baa7a4
13135561649
149ab55d80
156068714a
hex3d66b5ec

1030141420 has 192 divisors, whose sum is σ = 2813045760. Its totient is φ = 307584000.

The previous prime is 1030141417. The next prime is 1030141421. The reversal of 1030141420 is 241410301.

It is a super-2 number, since 2×10301414202 = 2122382690399232800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030141394 and 1030141403.

It is not an unprimeable number, because it can be changed into a prime (1030141421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5754891 + ... + 5755069.

It is an arithmetic number, because the mean of its divisors is an integer number (14651280).

Almost surely, 21030141420 is an apocalyptic number.

1030141420 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 1030141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

1030141420 is an abundant number, since it is smaller than the sum of its proper divisors (1782904340).

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

1030141420 is a wasteful number, since it uses less digits than its factorization.

1030141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1030141420 is about 32095.8162382576. The cubic root of 1030141420 is about 1009.9478520930.

Adding to 1030141420 its reverse (241410301), we get a palindrome (1271551721).

The spelling of 1030141420 in words is "one billion, thirty million, one hundred forty-one thousand, four hundred twenty".