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2040288 = 25353401
BaseRepresentation
bin111110010000111100000
310211122202020
413302013200
51010242123
6111421440
723225235
oct7620740
93748666
102040288
111173998
12824880
13565893
143b178c
152a47e3
hex1f21e0

2040288 has 48 divisors (see below), whose sum is σ = 5470416. Its totient is φ = 665600.

The previous prime is 2040287. The next prime is 2040293. The reversal of 2040288 is 8820402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040281) 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, 4888 + ... + 5288.

It is an arithmetic number, because the mean of its divisors is an integer number (113967).

22040288 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 2040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735208).

2040288 is an abundant number, since it is smaller than the sum of its proper divisors (3430128).

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

2040288 is a wasteful number, since it uses less digits than its factorization.

2040288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2040288 is about 1428.3865023165. The cubic root of 2040288 is about 126.8324821334.

The spelling of 2040288 in words is "two million, forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 401 424 636 802 848 1203 1272 1604 1696 2406 2544 3208 4812 5088 6416 9624 12832 19248 21253 38496 42506 63759 85012 127518 170024 255036 340048 510072 680096 1020144 2040288