Search a number
-
+
1042232320 = 2105251811
BaseRepresentation
bin111110000111110…
…011010000000000
32200122010212222001
4332013303100000
54113302413240
6251230353344
734553554123
oct7607632000
92618125861
101042232320
11495349628
1225105b854
13137c05b1c
149c5c23ba
156177489a
hex3e1f3400

1042232320 has 88 divisors (see below), whose sum is σ = 2513191968. Its totient is φ = 414720000.

The previous prime is 1042232309. The next prime is 1042232339. The reversal of 1042232320 is 232322401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284715 + ... + 1285525.

Almost surely, 21042232320 is an apocalyptic number.

1042232320 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 1042232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256595984).

1042232320 is an abundant number, since it is smaller than the sum of its proper divisors (1470959648).

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

1042232320 is an equidigital number, since it uses as much as digits as its factorization.

1042232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1042232320 is about 32283.6230928314. The cubic root of 1042232320 is about 1013.8837883435.

Adding to 1042232320 its reverse (232322401), we get a palindrome (1274554721).

The spelling of 1042232320 in words is "one billion, forty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 512 640 811 1004 1024 1255 1280 1622 2008 2510 2560 3244 4016 4055 5020 5120 6488 8032 8110 10040 12976 16064 16220 20080 25952 32128 32440 40160 51904 64256 64880 80320 103808 128512 129760 160640 203561 207616 257024 259520 321280 407122 415232 519040 642560 814244 830464 1017805 1038080 1285120 1628488 2035610 2076160 3256976 4071220 4152320 6513952 8142440 13027904 16284880 26055808 32569760 52111616 65139520 104223232 130279040 208446464 260558080 521116160 1042232320