Search a number
-
+
1041013232 = 24732931211
BaseRepresentation
bin111110000011001…
…001100111110000
32200112211221200122
4332003021213300
54112444410412
6251144305412
734540316000
oct7603114760
92615757618
101041013232
11494696716
12250772268
13137899c7c
149c386000
15615d3572
hex3e0c99f0

1041013232 has 160 divisors (see below), whose sum is σ = 2523648000. Its totient is φ = 414892800.

The previous prime is 1041013229. The next prime is 1041013271. The reversal of 1041013232 is 2323101401.

1041013232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1041013232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4933607 + ... + 4933817.

It is an arithmetic number, because the mean of its divisors is an integer number (15772800).

Almost surely, 21041013232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261824000).

1041013232 is an abundant number, since it is smaller than the sum of its proper divisors (1482634768).

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

1041013232 is a wasteful number, since it uses less digits than its factorization.

1041013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1041013232 is about 32264.7366640424. The cubic root of 1041013232 is about 1013.4883244382.

Adding to 1041013232 its reverse (2323101401), we get a palindrome (3364114633).

The spelling of 1041013232 in words is "one billion, forty-one million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 31 49 56 58 62 98 112 116 124 196 203 211 217 232 248 343 392 406 422 434 464 496 686 784 812 844 868 899 1372 1421 1477 1519 1624 1688 1736 1798 2744 2842 2954 3038 3248 3376 3472 3596 5488 5684 5908 6076 6119 6293 6541 7192 9947 10339 10633 11368 11816 12152 12238 12586 13082 14384 19894 20678 21266 22736 23632 24304 24476 25172 26164 39788 41356 42532 42833 44051 45787 48952 50344 52328 72373 79576 82712 85064 85666 88102 91574 97904 100688 104656 144746 159152 165424 170128 171332 176204 183148 189689 289492 299831 308357 320509 342664 352408 366296 379378 578984 599662 616714 641018 685328 704816 732592 758756 1157968 1199324 1233428 1282036 1327823 1517512 2098817 2243563 2398648 2466856 2564072 2655646 3035024 4197634 4487126 4797296 4933712 5128144 5311292 8395268 8974252 9294761 10622584 16790536 17948504 18589522 21245168 33581072 35897008 37179044 65063327 74358088 130126654 148716176 260253308 520506616 1041013232