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1023042040 = 23553653739
BaseRepresentation
bin111100111110100…
…110000111111000
32122022000220211221
4330332212013320
54043344321130
6245303201424
734231466566
oct7476460770
92568026757
101023042040
11485531699
12246746274
13133c47127
1499c28a36
155ec3387a
hex3cfa61f8

1023042040 has 64 divisors (see below), whose sum is σ = 2352045600. Its totient is φ = 400338432.

The previous prime is 1023042037. The next prime is 1023042043. The reversal of 1023042040 is 402403201.

It is an interprime number because it is at equal distance from previous prime (1023042037) and next prime (1023042043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023042043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383991 + ... + 1384729.

Almost surely, 21023042040 is an apocalyptic number.

1023042040 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 1023042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176022800).

1023042040 is an abundant number, since it is smaller than the sum of its proper divisors (1329003560).

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

1023042040 is a wasteful number, since it uses less digits than its factorization.

1023042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1023042040 is about 31985.0283726621. The cubic root of 1023042040 is about 1007.6224309221.

Adding to 1023042040 its reverse (402403201), we get a palindrome (1425445241).

The spelling of 1023042040 in words is "one billion, twenty-three million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 653 739 1060 1306 1478 2120 2612 2956 3265 3695 5224 5912 6530 7390 13060 14780 26120 29560 34609 39167 69218 78334 138436 156668 173045 195835 276872 313336 346090 391670 482567 692180 783340 965134 1384360 1566680 1930268 2412835 3860536 4825670 9651340 19302680 25576051 51152102 102304204 127880255 204608408 255760510 511521020 1023042040