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1023442420 = 22572111367109
BaseRepresentation
bin111101000000000…
…111110111110100
32122022210021001211
4331000013313310
54044000124140
6245315531204
734235055100
oct7500076764
92568707054
101023442420
11485785490
122468b9b04
13134057440
1499cd0900
155ecb22ea
hex3d007df4

1023442420 has 288 divisors, whose sum is σ = 3008396160. Its totient is φ = 287400960.

The previous prime is 1023442333. The next prime is 1023442423. The reversal of 1023442420 is 242443201.

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 = 1023442391 and 1023442400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023442423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9389326 + ... + 9389434.

It is an arithmetic number, because the mean of its divisors is an integer number (10445820).

Almost surely, 21023442420 is an apocalyptic number.

1023442420 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 1023442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504198080).

1023442420 is an abundant number, since it is smaller than the sum of its proper divisors (1984953740).

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

1023442420 is a wasteful number, since it uses less digits than its factorization.

1023442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1023442420 is about 31991.2866262050. The cubic root of 1023442420 is about 1007.7538622270.

Adding to 1023442420 its reverse (242443201), we get a palindrome (1265885621).

The spelling of 1023442420 in words is "one billion, twenty-three million, four hundred forty-two thousand, four hundred twenty".