Search a number
-
+
102781422 = 23217595693
BaseRepresentation
bin1100010000001…
…01000111101110
321011101211121100
412020011013232
5202303001142
614110543530
72355425202
oct610050756
9234354540
10102781422
1153021227
122a507ba6
13183a8813
14d916b02
159053b4c
hex62051ee

102781422 has 48 divisors (see below), whose sum is σ = 239831280. Its totient is φ = 31693056.

The previous prime is 102781409. The next prime is 102781429. The reversal of 102781422 is 224187201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102781429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15208 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (4996485).

Almost surely, 2102781422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102781422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119915640).

102781422 is an abundant number, since it is smaller than the sum of its proper divisors (137049858).

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

102781422 is a wasteful number, since it uses less digits than its factorization.

102781422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5774 counting only the distinct ones).

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

The square root of 102781422 is about 10138.1172808367. The cubic root of 102781422 is about 468.4229958254.

The spelling of 102781422 in words is "one hundred two million, seven hundred eighty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 3009 5693 6018 9027 11386 17079 18054 34158 51237 96781 102474 193562 290343 335887 580686 671774 871029 1007661 1742058 2015322 3022983 5710079 6045966 11420158 17130237 34260474 51390711 102781422