Search a number
-
+
1005136455 = 35236594421
BaseRepresentation
bin111011111010010…
…010101001000111
32121001100020000010
4323322102221013
54024303331310
6243423321303
733623342661
oct7372225107
92531306003
101005136455
11476411994
12240750233
131303180cb
14976c7531
155d398320
hex3be92a47

1005136455 has 32 divisors (see below), whose sum is σ = 1681067520. Its totient is φ = 511871360.

The previous prime is 1005136453. The next prime is 1005136507. The reversal of 1005136455 is 5546315001.

It is not a de Polignac number, because 1005136455 - 21 = 1005136453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005136453) 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 31 ways as a sum of consecutive naturals, for example, 225145 + ... + 229565.

It is an arithmetic number, because the mean of its divisors is an integer number (52533360).

Almost surely, 21005136455 is an apocalyptic number.

1005136455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005136455 is a deficient number, since it is larger than the sum of its proper divisors (675931065).

1005136455 is a wasteful number, since it uses less digits than its factorization.

1005136455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1005136455 is about 31703.8870645225. The cubic root of 1005136455 is about 1001.7092285400.

The spelling of 1005136455 in words is "one billion, five million, one hundred thirty-six thousand, four hundred fifty-five".

Divisors: 1 3 5 15 23 69 115 345 659 1977 3295 4421 9885 13263 15157 22105 45471 66315 75785 101683 227355 305049 508415 1525245 2913439 8740317 14567195 43701585 67009097 201027291 335045485 1005136455