Search a number
-
+
102001432 = 23131377159
BaseRepresentation
bin1100001010001…
…10101100011000
321002221012122211
412011012230120
5202103021212
614042124504
72345666161
oct605065430
9232835584
10102001432
1152639205
122a1b0734
13181947a0
14d792768
158e4c9a7
hex6146b18

102001432 has 32 divisors (see below), whose sum is σ = 207496800. Its totient is φ = 46727424.

The previous prime is 102001391. The next prime is 102001433. The reversal of 102001432 is 234100201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001433) 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 7 ways as a sum of consecutive naturals, for example, 10669 + ... + 17827.

It is an arithmetic number, because the mean of its divisors is an integer number (6484275).

Almost surely, 2102001432 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 102001432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103748400).

102001432 is an abundant number, since it is smaller than the sum of its proper divisors (105495368).

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

102001432 is a wasteful number, since it uses less digits than its factorization.

102001432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102001432 is about 10099.5758326773. The cubic root of 102001432 is about 467.2350593530.

Adding to 102001432 its reverse (234100201), we get a palindrome (336101633).

The spelling of 102001432 in words is "one hundred two million, one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 7124 7159 14248 14318 28636 57272 93067 186134 372268 744536 980783 1961566 3923132 7846264 12750179 25500358 51000716 102001432