Search a number
-
+
102881250 = 232553159
BaseRepresentation
bin1100010000111…
…01011111100010
321011120220112200
412020131133202
5202314200000
614113034030
72356322223
oct610353742
9234526480
10102881250
115308a22a
122a555916
13184120a4
14d94124a
159073500
hex621d7e2

102881250 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 26100000.

The previous prime is 102881237. The next prime is 102881269. The reversal of 102881250 is 52188201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1743721 + ... + 1743779.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2102881250 is an apocalyptic number.

102881250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102881250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

102881250 is an abundant number, since it is smaller than the sum of its proper divisors (189600030).

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

102881250 is an equidigital number, since it uses as much as digits as its factorization.

102881250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102881250 is about 10143.0394852825. The cubic root of 102881250 is about 468.5746010433.

The spelling of 102881250 in words is "one hundred two million, eight hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 59 62 75 90 93 118 125 150 155 177 186 225 250 279 295 310 354 375 450 465 531 558 590 625 750 775 885 930 1062 1125 1250 1395 1475 1550 1770 1829 1875 2250 2325 2655 2790 2950 3125 3658 3750 3875 4425 4650 5310 5487 5625 6250 6975 7375 7750 8850 9145 9375 10974 11250 11625 13275 13950 14750 16461 18290 18750 19375 22125 23250 26550 27435 28125 32922 34875 36875 38750 44250 45725 54870 56250 58125 66375 69750 73750 82305 91450 96875 110625 116250 132750 137175 164610 174375 184375 193750 221250 228625 274350 290625 331875 348750 368750 411525 457250 553125 581250 663750 685875 823050 871875 1106250 1143125 1371750 1659375 1743750 2057625 2286250 3318750 3429375 4115250 5715625 6858750 10288125 11431250 17146875 20576250 34293750 51440625 102881250