Search a number
-
+
27141345 = 3357211373
BaseRepresentation
bin110011110001…
…0010011100001
31220001220221000
41213202103201
523422010340
62405422213
7446461200
oct147422341
956056830
1027141345
1114358770
12910a969
135813a8a
143867237
1525b1d30
hex19e24e1

27141345 has 96 divisors (see below), whose sum is σ = 61395840. Its totient is φ = 11249280.

The previous prime is 27141307. The next prime is 27141347. The reversal of 27141345 is 54314172.

It is not a de Polignac number, because 27141345 - 27 = 27141217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27141347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72579 + ... + 72951.

It is an arithmetic number, because the mean of its divisors is an integer number (639540).

Almost surely, 227141345 is an apocalyptic number.

It is an amenable number.

27141345 is an abundant number, since it is smaller than the sum of its proper divisors (34254495).

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

27141345 is a wasteful number, since it uses less digits than its factorization.

27141345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 27141345 is about 5209.7355978975. The cubic root of 27141345 is about 300.5225891400.

It can be divided in two parts, 271 and 41345, that added together give a triangular number (41616 = T288).

The spelling of 27141345 in words is "twenty-seven million, one hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 373 385 441 495 539 693 735 945 1119 1155 1323 1485 1617 1865 2079 2205 2611 2695 3357 3465 4103 4851 5595 6615 7833 8085 10071 10395 12309 13055 14553 16785 18277 20515 23499 24255 28721 36927 39165 50355 54831 61545 70497 72765 86163 91385 110781 117495 143605 164493 184635 201047 258489 274155 352485 430815 493479 553905 603141 775467 822465 1005235 1292445 1809423 2467395 3015705 3877335 5428269 9047115 27141345