Search a number
-
+
1045723632 = 24379972843
BaseRepresentation
bin111110010101000…
…111100111110000
32200212201021010220
4332111013213300
54120201124012
6251433253040
734625334642
oct7625074760
92625637126
101045723632
11497313708
12252264180
13138858ca5
149cc50892
1561c1408c
hex3e5479f0

1045723632 has 80 divisors (see below), whose sum is σ = 2764823040. Its totient is φ = 340494336.

The previous prime is 1045723621. The next prime is 1045723639. The reversal of 1045723632 is 2363275401.

It is a junction number, because it is equal to n+sod(n) for n = 1045723593 and 1045723602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045723639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366403 + ... + 369245.

It is an arithmetic number, because the mean of its divisors is an integer number (34560288).

Almost surely, 21045723632 is an apocalyptic number.

1045723632 is a gapful number since it is divisible by the number (12) 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 1045723632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382411520).

1045723632 is an abundant number, since it is smaller than the sum of its proper divisors (1719099408).

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

1045723632 is a wasteful number, since it uses less digits than its factorization.

1045723632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 1045723632 is about 32337.6503784675. The cubic root of 1045723632 is about 1015.0146428683.

The spelling of 1045723632 in words is "one billion, forty-five million, seven hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 97 158 194 237 291 316 388 474 582 632 776 948 1164 1264 1552 1896 2328 2843 3792 4656 5686 7663 8529 11372 15326 17058 22744 22989 30652 34116 45488 45978 61304 68232 91956 122608 136464 183912 224597 275771 367824 449194 551542 673791 827313 898388 1103084 1347582 1654626 1796776 2206168 2695164 3309252 3593552 4412336 5390328 6618504 10780656 13237008 21785909 43571818 65357727 87143636 130715454 174287272 261430908 348574544 522861816 1045723632