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2150440 = 235371453
BaseRepresentation
bin1000001101000000101000
311001020211221
420031000220
51022303230
6114031424
724164335
oct10150050
94036757
102150440
111239726
12878574
135a3a66
143dd98c
152c727a
hex20d028

2150440 has 32 divisors (see below), whose sum is σ = 4972680. Its totient is φ = 836352.

The previous prime is 2150419. The next prime is 2150441. The reversal of 2150440 is 440512.

It can be written as a sum of positive squares in 4 ways, for example, as 2137444 + 12996 = 1462^2 + 114^2 .

It is not an unprimeable number, because it can be changed into a prime (2150441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754 + ... + 2206.

22150440 is an apocalyptic number.

2150440 is a gapful number since it is divisible by the number (20) 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 2150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486340).

2150440 is an abundant number, since it is smaller than the sum of its proper divisors (2822240).

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

2150440 is a wasteful number, since it uses less digits than its factorization.

2150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2150440 is about 1466.4378609406. The cubic root of 2150440 is about 129.0750919888.

Adding to 2150440 its reverse (440512), we get a palindrome (2590952).

It can be divided in two parts, 2150 and 440, that multiplied together give a triangular number (946000 = T1375).

The spelling of 2150440 in words is "two million, one hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1453 1480 2906 5812 7265 11624 14530 29060 53761 58120 107522 215044 268805 430088 537610 1075220 2150440