Search a number
-
+
1906002 = 232722161
BaseRepresentation
bin111010001010101010010
310120211112200
413101111102
5441443002
6104504030
722125600
oct7212522
93524480
101906002
11109200a
1277b016
13519717
14378870
15279b1c
hex1d1552

1906002 has 36 divisors (see below), whose sum is σ = 4806126. Its totient is φ = 544320.

The previous prime is 1905983. The next prime is 1906007. The reversal of 1906002 is 2006091.

It can be written as a sum of positive squares in only one way, i.e., 1535121 + 370881 = 1239^2 + 609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1906007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199 + ... + 1962.

21906002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1906002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403063).

1906002 is an abundant number, since it is smaller than the sum of its proper divisors (2900124).

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

1906002 is a wasteful number, since it uses less digits than its factorization.

1906002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1906002 is about 1380.5803127671. The cubic root of 1906002 is about 123.9865143156.

The spelling of 1906002 in words is "one million, nine hundred six thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 2161 4322 6483 12966 15127 19449 30254 38898 45381 90762 105889 136143 211778 272286 317667 635334 953001 1906002