Search a number
-
+
102757228 = 22747113691
BaseRepresentation
bin1100001111111…
…11001101101100
321011100121102021
412013333031230
5202301212403
614110235524
72355264520
oct607771554
9234317367
10102757228
1153005032
122a4b5ba4
131839a7c2
14d90bd80
15904b8bd
hex61ff36c

102757228 has 48 divisors (see below), whose sum is σ = 212050944. Its totient is φ = 42658560.

The previous prime is 102757223. The next prime is 102757247. The reversal of 102757228 is 822757201.

It is a junction number, because it is equal to n+sod(n) for n = 102757193 and 102757202.

It is not an unprimeable number, because it can be changed into a prime (102757223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148363 + ... + 149053.

It is an arithmetic number, because the mean of its divisors is an integer number (4417728).

Almost surely, 2102757228 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 102757228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106025472).

102757228 is an abundant number, since it is smaller than the sum of its proper divisors (109293716).

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

102757228 is a wasteful number, since it uses less digits than its factorization.

102757228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 102757228 is about 10136.9239910340. The cubic root of 102757228 is about 468.3862384844.

The spelling of 102757228 in words is "one hundred two million, seven hundred fifty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 47 94 113 188 226 329 452 658 691 791 1316 1382 1582 2764 3164 4837 5311 9674 10622 19348 21244 32477 37177 64954 74354 78083 129908 148708 156166 227339 312332 454678 546581 909356 1093162 2186324 3669901 7339802 14679604 25689307 51378614 102757228