Search a number
-
+
1040320125 = 335313131181
BaseRepresentation
bin111110000000100…
…000011001111101
32200111112201221000
4332000200121331
54112310221000
6251121400513
734531401165
oct7600403175
92614481830
101040320125
114942629a9
12250499139
131376b6650
149c2455a5
15614e8000
hex3e02067d

1040320125 has 128 divisors (see below), whose sum is σ = 2098736640. Its totient is φ = 505440000.

The previous prime is 1040320123. The next prime is 1040320133. The reversal of 1040320125 is 5210230401.

It is not a de Polignac number, because 1040320125 - 21 = 1040320123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040320098 and 1040320107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040320123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5747535 + ... + 5747715.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 21040320125 is an apocalyptic number.

1040320125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1040320125 is an abundant number, since it is smaller than the sum of its proper divisors (1058416515).

1040320125 is a wasteful number, since it uses less digits than its factorization.

1040320125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1040320125 is about 32253.9939387357. The cubic root of 1040320125 is about 1013.2633475322.

Adding to 1040320125 its reverse (5210230401), we get a palindrome (6250550526).

The spelling of 1040320125 in words is "one billion, forty million, three hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 131 135 181 195 225 325 351 375 393 543 585 655 675 905 975 1125 1179 1625 1629 1703 1755 1965 2353 2715 2925 3275 3375 3537 4525 4875 4887 5109 5895 7059 8145 8515 8775 9825 11765 13575 14625 15327 16375 17685 21177 22625 23711 24435 25545 29475 35295 40725 42575 43875 45981 49125 58825 63531 67875 71133 76635 88425 105885 118555 122175 127725 147375 176475 203625 212875 213399 229905 294125 308243 317655 355665 383175 442125 529425 592775 610875 638625 640197 882375 924729 1066995 1149525 1541215 1588275 1778325 1915875 2647125 2774187 2963875 3200985 4623645 5334975 5747625 7706075 7941375 8322561 8891625 13870935 16004925 23118225 26674875 38530375 41612805 69354675 80024625 115591125 208064025 346773375 1040320125