Search a number
-
+
27141480 = 233458377
BaseRepresentation
bin110011110001…
…0010101101000
31220001221010000
41213202111220
523422011410
62405423000
7446461452
oct147422550
956057100
1027141480
1114358883
12910aa60
135813b62
1438672d2
1525b1dc0
hex19e2568

27141480 has 80 divisors (see below), whose sum is σ = 91236420. Its totient is φ = 7236864.

The previous prime is 27141437. The next prime is 27141487. The reversal of 27141480 is 8414172.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 1920996 = 5022^2 + 1386^2 .

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 (27141487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 949 + ... + 7428.

Almost surely, 227141480 is an apocalyptic number.

27141480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45618210).

27141480 is an abundant number, since it is smaller than the sum of its proper divisors (64094940).

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

27141480 is a wasteful number, since it uses less digits than its factorization.

27141480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 27141480 is about 5209.7485543930. The cubic root of 27141480 is about 300.5230874018.

The spelling of 27141480 in words is "twenty-seven million, one hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 8377 16754 25131 33508 41885 50262 67016 75393 83770 100524 125655 150786 167540 201048 226179 251310 301572 335080 376965 452358 502620 603144 678537 753930 904716 1005240 1130895 1357074 1507860 1809432 2261790 2714148 3015720 3392685 4523580 5428296 6785370 9047160 13570740 27141480