Search a number
-
+
272500000 = 2557109
BaseRepresentation
bin10000001111100…
…000010100100000
3200222202102201121
4100033200110200
51024230000000
643012342024
76516132433
oct2017402440
9628672647
10272500000
1112a901313
1277314914
13445bca06
142829581a
1518dcab1a
hex103e0520

272500000 has 96 divisors (see below), whose sum is σ = 676756080. Its totient is φ = 108000000.

The previous prime is 272499989. The next prime is 272500009. The reversal of 272500000 is 5272.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 233111824 + 39388176 = 15268^2 + 6276^2 .

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

It is not an unprimeable number, because it can be changed into a prime (272500009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499946 + ... + 2500054.

Almost surely, 2272500000 is an apocalyptic number.

272500000 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 272500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338378040).

272500000 is an abundant number, since it is smaller than the sum of its proper divisors (404256080).

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

272500000 is an frugal number, since it uses more digits than its factorization.

272500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 116 counting only the distinct ones).

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

The square root of 272500000 is about 16507.5740192192. The cubic root of 272500000 is about 648.3191284871.

Adding to 272500000 its reverse (5272), we get a palindrome (272505272).

The spelling of 272500000 in words is "two hundred seventy-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 125 160 200 218 250 400 436 500 545 625 800 872 1000 1090 1250 1744 2000 2180 2500 2725 3125 3488 4000 4360 5000 5450 6250 8720 10000 10900 12500 13625 15625 17440 20000 21800 25000 27250 31250 43600 50000 54500 62500 68125 78125 87200 100000 109000 125000 136250 156250 218000 250000 272500 312500 340625 436000 500000 545000 625000 681250 1090000 1250000 1362500 1703125 2180000 2500000 2725000 3406250 5450000 6812500 8515625 10900000 13625000 17031250 27250000 34062500 54500000 68125000 136250000 272500000