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2040272 = 241317577
BaseRepresentation
bin111110010000111010000
310211122201122
413302013100
51010242042
6111421412
723225213
oct7620720
93748648
102040272
111173983
12824868
13565880
143b177a
152a47d2
hex1f21d0

2040272 has 40 divisors (see below), whose sum is σ = 4515336. Its totient is φ = 884736.

The previous prime is 2040263. The next prime is 2040281. The reversal of 2040272 is 2720402.

It is an interprime number because it is at equal distance from previous prime (2040263) and next prime (2040281).

It can be written as a sum of positive squares in 4 ways, for example, as 839056 + 1201216 = 916^2 + 1096^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2040272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3248 + ... + 3824.

22040272 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 2040272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257668).

2040272 is an abundant number, since it is smaller than the sum of its proper divisors (2475064).

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

2040272 is a wasteful number, since it uses less digits than its factorization.

2040272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2040272 is about 1428.3809015805. The cubic root of 2040272 is about 126.8321505912.

Adding to 2040272 its reverse (2720402), we get a palindrome (4760674).

It can be divided in two parts, 20402 and 72, that multiplied together give a square (1468944 = 12122).

The spelling of 2040272 in words is "two million, forty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 577 884 1154 1768 2308 3536 4616 7501 9232 9809 15002 19618 30004 39236 60008 78472 120016 127517 156944 255034 510068 1020136 2040272