Search a number
-
+
1023112032 = 25341259937
BaseRepresentation
bin111100111110110…
…111001101100000
32122022011110212020
4330332313031200
54043404041112
6245304501440
734232210625
oct7476671540
92568143766
101023112032
1148557a238
1224677a880
13133c6cc47
1499c4634c
155ec4948c
hex3cfb7360

1023112032 has 48 divisors (see below), whose sum is σ = 2751183792. Its totient is φ = 332718080.

The previous prime is 1023112031. The next prime is 1023112039. The reversal of 1023112032 is 2302113201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023112031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126033 + ... + 133904.

It is an arithmetic number, because the mean of its divisors is an integer number (57316329).

Almost surely, 21023112032 is an apocalyptic number.

1023112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023112032 is an abundant number, since it is smaller than the sum of its proper divisors (1728071760).

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

1023112032 is a wasteful number, since it uses less digits than its factorization.

1023112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259991 (or 259983 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1023112032 is about 31986.1224908553. The cubic root of 1023112032 is about 1007.6454094176.

Adding to 1023112032 its reverse (2302113201), we get a palindrome (3325225233).

The spelling of 1023112032 in words is "one billion, twenty-three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 259937 519874 779811 1039748 1559622 2079496 3119244 4158992 6238488 8317984 10657417 12476976 21314834 24953952 31972251 42629668 63944502 85259336 127889004 170518672 255778008 341037344 511556016 1023112032