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2042480 = 245112211
BaseRepresentation
bin111110010101001110000
310211202202102
413302221300
51010324410
6111435532
723234516
oct7625160
93752672
102042480
111175600
12825ba8
1356688b
143b24b6
152a52a5
hex1f2a70

2042480 has 60 divisors (see below), whose sum is σ = 5244456. Its totient is φ = 739200.

The previous prime is 2042477. The next prime is 2042483. The reversal of 2042480 is 842402.

It is an interprime number because it is at equal distance from previous prime (2042477) and next prime (2042483).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9575 + ... + 9785.

22042480 is an apocalyptic number.

2042480 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 2042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622228).

2042480 is an abundant number, since it is smaller than the sum of its proper divisors (3201976).

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

2042480 is a wasteful number, since it uses less digits than its factorization.

2042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2042480 is about 1429.1535956642. The cubic root of 2042480 is about 126.8778870463.

Adding to 2042480 its reverse (842402), we get a palindrome (2884882).

The spelling of 2042480 in words is "two million, forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 211 220 242 422 440 484 605 844 880 968 1055 1210 1688 1936 2110 2321 2420 3376 4220 4642 4840 8440 9284 9680 11605 16880 18568 23210 25531 37136 46420 51062 92840 102124 127655 185680 204248 255310 408496 510620 1021240 2042480