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1023012440 = 235199713877
BaseRepresentation
bin111100111110011…
…110111001011000
32122021222102020122
4330332132321120
54043342344230
6245302412412
734231314362
oct7476367130
92567872218
101023012440
1148551142a
12246731108
13133c36808
1499c1bd32
155ec29be5
hex3cf9ee58

1023012440 has 64 divisors (see below), whose sum is σ = 2448079200. Its totient is φ = 383643648.

The previous prime is 1023012427. The next prime is 1023012449. The reversal of 1023012440 is 442103201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023012449) 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 15 ways as a sum of consecutive naturals, for example, 66782 + ... + 80658.

Almost surely, 21023012440 is an apocalyptic number.

1023012440 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 1023012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224039600).

1023012440 is an abundant number, since it is smaller than the sum of its proper divisors (1425066760).

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

1023012440 is a wasteful number, since it uses less digits than its factorization.

1023012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14004 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1023012440 is about 31984.5656528270. The cubic root of 1023012440 is about 1007.6127128752.

Adding to 1023012440 its reverse (442103201), we get a palindrome (1465115641).

The spelling of 1023012440 in words is "one billion, twenty-three million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 380 388 485 760 776 970 1843 1940 3686 3880 7372 9215 13877 14744 18430 27754 36860 55508 69385 73720 111016 138770 263663 277540 527326 555080 1054652 1318315 1346069 2109304 2636630 2692138 5273260 5384276 6730345 10546520 10768552 13460690 25575311 26921380 51150622 53842760 102301244 127876555 204602488 255753110 511506220 1023012440