[go: up one dir, main page]

Search a number
-
+
102006044 = 2272598821
BaseRepresentation
bin1100001010001…
…11110100011100
321002221102222122
412011013310130
5202103143134
614042202112
72346015500
oct605076434
9232842878
10102006044
1152641718
122a1b3338
131819690a
14d794300
158e4e02e
hex6147d1c

102006044 has 36 divisors (see below), whose sum is σ = 211198680. Its totient is φ = 42971040.

The previous prime is 102006043. The next prime is 102006059. The reversal of 102006044 is 440600201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102006043) 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 11 ways as a sum of consecutive naturals, for example, 7154 + ... + 15974.

It is an arithmetic number, because the mean of its divisors is an integer number (5866630).

Almost surely, 2102006044 is an apocalyptic number.

102006044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102006044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105599340).

102006044 is an abundant number, since it is smaller than the sum of its proper divisors (109192636).

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

102006044 is a wasteful number, since it uses less digits than its factorization.

102006044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102006044 is about 10099.8041565171. The cubic root of 102006044 is about 467.2421012659.

Adding to 102006044 its reverse (440600201), we get a palindrome (542606245).

The spelling of 102006044 in words is "one hundred two million, six thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 826 1652 2891 5782 8821 11564 17642 35284 61747 123494 246988 432229 520439 864458 1040878 1728916 2081756 3643073 7286146 14572292 25501511 51003022 102006044