Search a number
-
+
1361331675 = 3252112311613
BaseRepresentation
bin101000100100100…
…0100010111011011
310111212120210222200
41101021010113123
510242000103200
6343030021243
745510062004
oct12111042733
93455523880
101361331675
11639488700
1231baa7823
13189060102
14ccb281ab
157e7a7800
hex512445db

1361331675 has 108 divisors (see below), whose sum is σ = 2768281152. Its totient is φ = 638352000.

The previous prime is 1361331581. The next prime is 1361331689. The reversal of 1361331675 is 5761331631.

It is a happy number.

1361331675 is a `hidden beast` number, since 1 + 3 + 613 + 31 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 1361331675 - 219 = 1360807387 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 843169 + ... + 844781.

Almost surely, 21361331675 is an apocalyptic number.

1361331675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1361331675 is an abundant number, since it is smaller than the sum of its proper divisors (1406949477).

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

1361331675 is a wasteful number, since it uses less digits than its factorization.

1361331675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1663 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 1361331675 is about 36896.2284657931. The cubic root of 1361331675 is about 1108.2931522295.

The spelling of 1361331675 in words is "one billion, three hundred sixty-one million, three hundred thirty-one thousand, six hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 75 93 99 121 155 165 225 275 279 341 363 465 495 605 775 825 1023 1089 1395 1613 1705 1815 2325 2475 3025 3069 3751 4839 5115 5445 6975 8065 8525 9075 11253 14517 15345 17743 18755 24195 25575 27225 33759 40325 50003 53229 56265 72585 76725 88715 93775 120975 150009 159687 168795 195173 250015 266145 281325 362925 443575 450027 550033 585519 750045 798435 843975 975865 1250075 1330725 1650099 1756557 2250135 2750165 2927595 3750225 3992175 4879325 4950297 6050363 8250495 8782785 11250675 13750825 14637975 18151089 24751485 30251815 41252475 43913925 54453267 90755445 123757425 151259075 272266335 453777225 1361331675