Search a number
-
+
1380556674 = 232724138177
BaseRepresentation
bin101001001001001…
…1001111110000010
310120012202112201200
41102102121332002
510311410303144
6344554042030
746132352400
oct12222317602
93505675650
101380556674
11649319732
12326419316
13190031853
14d14d0470
1581303c69
hex52499f82

1380556674 has 72 divisors (see below), whose sum is σ = 3564527148. Its totient is φ = 384814080.

The previous prime is 1380556673. The next prime is 1380556703. The reversal of 1380556674 is 4766550831.

1380556674 is a `hidden beast` number, since 1 + 3 + 80 + 5 + 566 + 7 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 969886449 + 410670225 = 31143^2 + 20265^2 .

It is not an unprimeable number, because it can be changed into a prime (1380556673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17074 + ... + 55250.

Almost surely, 21380556674 is an apocalyptic number.

1380556674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380556674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782263574).

1380556674 is an abundant number, since it is smaller than the sum of its proper divisors (2183970474).

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

1380556674 is a wasteful number, since it uses less digits than its factorization.

1380556674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38240 (or 38230 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1380556674 is about 37155.8430667372. The cubic root of 1380556674 is about 1113.4859631743.

The spelling of 1380556674 in words is "one billion, three hundred eighty million, five hundred fifty-six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 4018 5166 6027 12054 18081 36162 38177 76354 114531 229062 267239 343593 534478 687186 801717 1565257 1603434 1870673 2405151 3130514 3741346 4695771 4810302 5612019 9391542 10956799 11224038 14087313 16836057 21913598 28174626 32870397 33672114 65740794 76697593 98611191 153395186 197222382 230092779 460185558 690278337 1380556674