Search a number
-
+
1336552245 = 375719919
BaseRepresentation
bin100111110101010…
…0010101100110101
310110010221220000000
41033222202230311
510214124132440
6340342541513
745056335530
oct11752425465
93403856000
101336552245
116264a3536
12313737899
13183b95422
14c9717a17
157c510730
hex4faa2b35

1336552245 has 128 divisors (see below), whose sum is σ = 2896896000. Its totient is φ = 578207808.

The previous prime is 1336552199. The next prime is 1336552271. The reversal of 1336552245 is 5422556331.

1336552245 is a `hidden beast` number, since 1 + 3 + 365 + 52 + 245 = 666.

It is not a de Polignac number, because 1336552245 - 210 = 1336551221 is a prime.

It is a super-2 number, since 2×13365522452 = 3572743807229080050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1453896 + ... + 1454814.

It is an arithmetic number, because the mean of its divisors is an integer number (22632000).

Almost surely, 21336552245 is an apocalyptic number.

1336552245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1336552245 is an abundant number, since it is smaller than the sum of its proper divisors (1560343755).

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

1336552245 is an frugal number, since it uses more digits than its factorization.

1336552245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 953 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 1336552245 is about 36558.8873599840. The cubic root of 1336552245 is about 1101.5274221696.

The spelling of 1336552245 in words is "one billion, three hundred thirty-six million, five hundred fifty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 243 285 315 399 405 513 567 665 729 855 919 945 1197 1215 1539 1701 1995 2187 2565 2757 2835 3591 3645 4595 4617 5103 5985 6433 7695 8271 8505 10773 10935 13785 13851 15309 17461 17955 19299 23085 24813 25515 32165 32319 41355 41553 52383 53865 57897 69255 74439 76545 87305 96495 96957 122227 124065 157149 161595 173691 207765 223317 261915 289485 290871 366681 372195 471447 484785 521073 611135 669951 785745 868455 1100043 1116585 1414341 1454355 1563219 1833405 2009853 2357235 2605365 3300129 3349755 4243023 4689657 5500215 7071705 7816095 9900387 10049265 12729069 14068971 16500645 21215115 23448285 29701161 38187207 49501935 63645345 70344855 89103483 148505805 190936035 267310449 445517415 1336552245