Search a number
-
+
1041399975 = 352711199491
BaseRepresentation
bin111110000100101…
…000000010100111
32200120120121012110
4332010220002213
54113044244400
6251200452103
734543516350
oct7604500247
92616517173
101041399975
11494930240
1225091a033
131379a4005
149c446d27
156165ce50
hex3e1280a7

1041399975 has 96 divisors (see below), whose sum is σ = 2259855360. Its totient is φ = 409968000.

The previous prime is 1041399943. The next prime is 1041400001. The reversal of 1041399975 is 5799931401.

It is not a de Polignac number, because 1041399975 - 25 = 1041399943 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 104980 + ... + 114470.

It is an arithmetic number, because the mean of its divisors is an integer number (23540160).

Almost surely, 21041399975 is an apocalyptic number.

1041399975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1041399975 is an abundant number, since it is smaller than the sum of its proper divisors (1218455385).

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

1041399975 is a wasteful number, since it uses less digits than its factorization.

1041399975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The square root of 1041399975 is about 32270.7293843818. The cubic root of 1041399975 is about 1013.6138146736.

The spelling of 1041399975 in words is "one billion, forty-one million, three hundred ninety-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 55 57 75 77 95 105 133 165 175 209 231 275 285 385 399 475 525 627 665 825 1045 1155 1425 1463 1925 1995 3135 3325 4389 5225 5775 7315 9491 9975 15675 21945 28473 36575 47455 66437 104401 109725 142365 180329 199311 237275 313203 332185 522005 540987 711825 730807 901645 996555 1262303 1566015 1660925 1983619 2192421 2610025 2704935 3654035 3786909 4508225 4982775 5950857 6311515 7830075 9918095 10962105 13524675 13885333 18270175 18934545 29754285 31557575 41655999 49590475 54810525 69426665 94672725 148771425 208279995 347133325 1041399975