Search a number
-
+
253000605 = 351113243211
BaseRepresentation
bin11110001010001…
…11101110011101
3122122001202120210
433011013232131
51004232004410
641034403033
76161320044
oct1705075635
9578052523
10253000605
1111a8a3110
1270890479
1340553400
142585b55b
1517328220
hexf147b9d

253000605 has 96 divisors (see below), whose sum is σ = 491622912. Its totient is φ = 110073600.

The previous prime is 253000603. The next prime is 253000607. The reversal of 253000605 is 506000352.

It is an interprime number because it is at equal distance from previous prime (253000603) and next prime (253000607).

It is not a de Polignac number, because 253000605 - 21 = 253000603 is a prime.

It is a super-2 number, since 2×2530006052 = 128018612260732050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253000603) 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 95 ways as a sum of consecutive naturals, for example, 1198950 + ... + 1199160.

It is an arithmetic number, because the mean of its divisors is an integer number (5121072).

Almost surely, 2253000605 is an apocalyptic number.

It is an amenable number.

253000605 is a deficient number, since it is larger than the sum of its proper divisors (238622307).

253000605 is a wasteful number, since it uses less digits than its factorization.

253000605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 253000605 is about 15905.9927385876. The cubic root of 253000605 is about 632.4708584844.

Adding to 253000605 its reverse (506000352), we get a palindrome (759000957).

The spelling of 253000605 in words is "two hundred fifty-three million, six hundred five", and thus it is an aban number.

Divisors: 1 3 5 11 13 15 33 39 43 55 65 129 143 165 169 195 211 215 429 473 507 559 633 645 715 845 1055 1419 1677 1859 2145 2321 2365 2535 2743 2795 3165 5577 6149 6963 7095 7267 8229 8385 9073 9295 11605 13715 18447 21801 27219 27885 30173 30745 34815 35659 36335 41145 45365 79937 90519 92235 99803 106977 109005 117949 136095 150865 178295 239811 299409 353847 392249 399685 452595 499015 534885 589745 1176747 1199055 1297439 1497045 1533337 1769235 1961245 3892317 4600011 5883735 6487195 7666685 16866707 19461585 23000055 50600121 84333535 253000605