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1023054440 = 235373891777
BaseRepresentation
bin111100111110101…
…001001001101000
32122022001112212012
4330332221021220
54043400220230
6245303335052
734231551002
oct7476511150
92568045765
101023054440
1148553aa41
12246751488
13133c4c975
1499c2d372
155ec37395
hex3cfa9268

1023054440 has 64 divisors (see below), whose sum is σ = 2371496400. Its totient is φ = 396914688.

The previous prime is 1023054391. The next prime is 1023054443. The reversal of 1023054440 is 444503201.

It can be written as a sum of positive squares in 8 ways, for example, as 532963396 + 490091044 = 23086^2 + 22138^2 .

It is not an unprimeable number, because it can be changed into a prime (1023054443) 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, 574832 + ... + 576608.

Almost surely, 21023054440 is an apocalyptic number.

1023054440 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 1023054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185748200).

1023054440 is an abundant number, since it is smaller than the sum of its proper divisors (1348441960).

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

1023054440 is a wasteful number, since it uses less digits than its factorization.

1023054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1023054440 is about 31985.2222127657. Note that the first 4 decimals coincide. The cubic root of 1023054440 is about 1007.6265019401.

Adding to 1023054440 its reverse (444503201), we get a palindrome (1467557641).

The spelling of 1023054440 in words is "one billion, twenty-three million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 389 740 778 1480 1556 1777 1945 3112 3554 3890 7108 7780 8885 14216 14393 15560 17770 28786 35540 57572 65749 71080 71965 115144 131498 143930 262996 287860 328745 525992 575720 657490 691253 1314980 1382506 2629960 2765012 3456265 5530024 6912530 13825060 25576361 27650120 51152722 102305444 127881805 204610888 255763610 511527220 1023054440