Search a number
-
+
2130268 = 22776081
BaseRepresentation
bin1000001000000101011100
311000020011211
420020011130
51021132033
6113354204
724051460
oct10100534
94006154
102130268
111225558
12868964
1359781a
143d64a0
152c12cd
hex20815c

2130268 has 12 divisors (see below), whose sum is σ = 4260592. Its totient is φ = 912960.

The previous prime is 2130251. The next prime is 2130269. The reversal of 2130268 is 8620312.

2130268 is an admirable number.

It is a d-powerful number, because it can be written as 27 + 1 + 3 + 0 + 221 + 63 + 85 .

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38013 + ... + 38068.

22130268 is an apocalyptic number.

2130268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2130268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2130268 is a wasteful number, since it uses less digits than its factorization.

2130268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76092 (or 76090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2130268 is about 1459.5437643319. The cubic root of 2130268 is about 128.6702311677.

It can be divided in two parts, 21 and 30268, that multiplied together give a triangular number (635628 = T1127).

The spelling of 2130268 in words is "two million, one hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 76081 152162 304324 532567 1065134 2130268