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2134272 = 2837397
BaseRepresentation
bin1000001001000100000000
311000102200010
420021010000
51021244042
6113424520
724066240
oct10110400
94012603
102134272
111228568
1286b140
135995aa
143d7b20
152c259c
hex209100

2134272 has 72 divisors (see below), whose sum is σ = 6508096. Its totient is φ = 608256.

The previous prime is 2134267. The next prime is 2134273. The reversal of 2134272 is 2724312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2134273) 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, 5178 + ... + 5574.

22134272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254048).

2134272 is an abundant number, since it is smaller than the sum of its proper divisors (4373824).

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

2134272 is an equidigital number, since it uses as much as digits as its factorization.

2134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 2134272 is about 1460.9147819089. The cubic root of 2134272 is about 128.7507958602.

Adding to 2134272 its reverse (2724312), we get a palindrome (4858584).

The spelling of 2134272 in words is "two million, one hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 397 448 672 768 794 896 1191 1344 1588 1792 2382 2688 2779 3176 4764 5376 5558 6352 8337 9528 11116 12704 16674 19056 22232 25408 33348 38112 44464 50816 66696 76224 88928 101632 133392 152448 177856 266784 304896 355712 533568 711424 1067136 2134272