Search a number
-
+
1002118146 = 234119321107
BaseRepresentation
bin111011101110110…
…001110000000010
32120211122212122220
4323232301300002
54023020240041
6243234511510
733555602151
oct7356616002
92524585586
101002118146
11474740217
1223b735596
1312c7cc323
149713d598
155ce9dd66
hex3bbb1c02

1002118146 has 32 divisors (see below), whose sum is σ = 2063855808. Its totient is φ = 324188160.

The previous prime is 1002118141. The next prime is 1002118153. The reversal of 1002118146 is 6418112001.

1002118146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002118141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36925 + ... + 58031.

It is an arithmetic number, because the mean of its divisors is an integer number (64495494).

Almost surely, 21002118146 is an apocalyptic number.

1002118146 is an abundant number, since it is smaller than the sum of its proper divisors (1061737662).

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

1002118146 is a wasteful number, since it uses less digits than its factorization.

1002118146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1002118146 is about 31656.2497147088. The cubic root of 1002118146 is about 1000.7055507477.

The spelling of 1002118146 in words is "one billion, two million, one hundred eighteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 41 82 123 193 246 386 579 1158 7913 15826 21107 23739 42214 47478 63321 126642 865387 1730774 2596161 4073651 5192322 8147302 12220953 24441906 167019691 334039382 501059073 1002118146