Search a number
-
+
102265640 = 2352556641
BaseRepresentation
bin1100001100001…
…11001100101000
321010102122002022
412012013030220
5202140000030
614051524012
72351146361
oct606071450
9233378068
10102265640
11527a9764
122a2b9608
1318257b19
14d820b68
158ea0de5
hex6187328

102265640 has 16 divisors (see below), whose sum is σ = 230097780. Its totient is φ = 40906240.

The previous prime is 102265633. The next prime is 102265643. The reversal of 102265640 is 46562201.

It can be written as a sum of positive squares in 2 ways, for example, as 85340644 + 16924996 = 9238^2 + 4114^2 .

It is a super-2 number, since 2×1022656402 = 20916522249219200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102265643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1278281 + ... + 1278360.

Almost surely, 2102265640 is an apocalyptic number.

102265640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102265640 is an abundant number, since it is smaller than the sum of its proper divisors (127832140).

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

102265640 is a wasteful number, since it uses less digits than its factorization.

102265640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556652 (or 2556648 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 102265640 is about 10112.6475267360. The cubic root of 102265640 is about 467.6381282294.

The spelling of 102265640 in words is "one hundred two million, two hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2556641 5113282 10226564 12783205 20453128 25566410 51132820 102265640