Search a number
-
+
102614106 = 2376193947
BaseRepresentation
bin1100001110111…
…00010001011010
321011002100002110
412013130101122
5202232122411
614103213150
72354130330
oct607342132
9234070073
10102614106
1152a17551
122a4471b6
131834a60a
14d8b1b50
15901e2a6
hex61dc45a

102614106 has 32 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 29263536.

The previous prime is 102614089. The next prime is 102614107. The reversal of 102614106 is 601416201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102614107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24025 + ... + 27971.

It is an arithmetic number, because the mean of its divisors is an integer number (7343280).

Almost surely, 2102614106 is an apocalyptic number.

102614106 is an abundant number, since it is smaller than the sum of its proper divisors (132370854).

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

102614106 is a wasteful number, since it uses less digits than its factorization.

102614106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 102614106 is about 10129.8620918550. The cubic root of 102614106 is about 468.1686786956.

The spelling of 102614106 in words is "one hundred two million, six hundred fourteen thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 619 1238 1857 3714 3947 4333 7894 8666 11841 12999 23682 25998 27629 55258 82887 165774 2443193 4886386 7329579 14659158 17102351 34204702 51307053 102614106