Search a number
-
+
27250000 = 2456109
BaseRepresentation
bin110011111110…
…0110101010000
31220021102222021
41213330311100
523434000000
62412021224
7450423031
oct147746520
956242867
1027250000
1114422368
129161814
13585137b
143894a88
1525d411a
hex19fcd50

27250000 has 70 divisors (see below), whose sum is σ = 66600710. Its totient is φ = 10800000.

The previous prime is 27249991. The next prime is 27250001. The reversal of 27250000 is 5272.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 27123264 + 126736 = 5208^2 + 356^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27250001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 249946 + ... + 250054.

Almost surely, 227250000 is an apocalyptic number.

27250000 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 27250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300355).

27250000 is an abundant number, since it is smaller than the sum of its proper divisors (39350710).

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

27250000 is an frugal number, since it uses more digits than its factorization.

27250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 27250000 is about 5220.1532544553. The cubic root of 27250000 is about 300.9230827403.

Adding to 27250000 its reverse (5272), we get a palindrome (27255272).

The spelling of 27250000 in words is "twenty-seven million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 625 872 1000 1090 1250 1744 2000 2180 2500 2725 3125 4360 5000 5450 6250 8720 10000 10900 12500 13625 15625 21800 25000 27250 31250 43600 50000 54500 62500 68125 109000 125000 136250 218000 250000 272500 340625 545000 681250 1090000 1362500 1703125 2725000 3406250 5450000 6812500 13625000 27250000