Search a number
-
+
1355640165 = 335111038863
BaseRepresentation
bin101000011001101…
…0110110101100101
310111110212122201000
41100303112311211
510234020441130
6342304023513
745410515455
oct12063266545
93443778630
101355640165
11636250580
1231a001b99
13187b19659
14cc085d65
157e031260
hex50cd6d65

1355640165 has 64 divisors (see below), whose sum is σ = 2654945280. Its totient is φ = 650825280.

The previous prime is 1355640161. The next prime is 1355640179. The reversal of 1355640165 is 5610465531.

1355640165 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 640 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 1355640165 - 22 = 1355640161 is a prime.

It is a super-2 number, since 2×13556401652 = 3675520513922454450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355640161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148524 + ... + 157386.

It is an arithmetic number, because the mean of its divisors is an integer number (41483520).

Almost surely, 21355640165 is an apocalyptic number.

1355640165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355640165 is a deficient number, since it is larger than the sum of its proper divisors (1299305115).

1355640165 is a wasteful number, since it uses less digits than its factorization.

1355640165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1355640165 is about 36819.0190662380. The cubic root of 1355640165 is about 1106.7464625995.

The spelling of 1355640165 in words is "one billion, three hundred fifty-five million, six hundred forty thousand, one hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 103 135 165 297 309 495 515 927 1133 1485 1545 2781 3399 4635 5665 8863 10197 13905 16995 26589 30591 44315 50985 79767 97493 132945 152955 239301 292479 398835 487465 877437 912889 1196505 1462395 2632311 2738667 4387185 4564445 8216001 10041779 13161555 13693335 24648003 30125337 41080005 50208895 90376011 123240015 150626685 271128033 451880055 1355640165