Search a number
-
+
1318252728 = 233133231087
BaseRepresentation
bin100111010010010…
…1111000010111000
310101212112011210010
41032210233002320
510144433041403
6334450421520
744444651262
oct11644570270
93355464703
101318252728
11617134871
123095918a0
13180159000
14c7112b32
157aae8603
hex4e92f0b8

1318252728 has 128 divisors (see below), whose sum is σ = 3728793600. Its totient is φ = 387623808.

The previous prime is 1318252723. The next prime is 1318252759. The reversal of 1318252728 is 8272528131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318252723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212201 + ... + 1213287.

It is an arithmetic number, because the mean of its divisors is an integer number (29131200).

Almost surely, 21318252728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318252728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864396800).

1318252728 is an abundant number, since it is smaller than the sum of its proper divisors (2410540872).

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

1318252728 is a wasteful number, since it uses less digits than its factorization.

1318252728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1128 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 1318252728 is about 36307.7502470203. The cubic root of 1318252728 is about 1096.4770841969.

It can be divided in two parts, 13182 and 52728, that multiplied together give a square (695060496 = 263642).

The spelling of 1318252728 in words is "one billion, three hundred eighteen million, two hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 169 184 276 299 312 338 507 552 598 676 897 1014 1087 1196 1352 1794 2028 2174 2197 2392 3261 3588 3887 4056 4348 4394 6522 6591 7176 7774 8696 8788 11661 13044 13182 14131 15548 17576 23322 25001 26088 26364 28262 31096 42393 46644 50002 50531 52728 56524 75003 84786 93288 100004 101062 113048 150006 151593 169572 183703 200008 202124 300012 303186 325013 339144 367406 404248 551109 600024 606372 650026 734812 975039 1102218 1212744 1300052 1469624 1950078 2204436 2388139 2600104 3900156 4225169 4408872 4776278 7164417 7800312 8450338 9552556 12675507 14328834 16900676 19105112 25351014 28657668 33801352 50702028 54927197 57315336 101404056 109854394 164781591 219708788 329563182 439417576 659126364 1318252728