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2412144 = 243272393
BaseRepresentation
bin1001001100111001110000
311112112211200
421030321300
51104142034
6123411200
726334330
oct11147160
94475750
102412144
1113a8309
12983b00
13665c07
1446b0c0
15329a99
hex24ce70

2412144 has 60 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 688896.

The previous prime is 2412143. The next prime is 2412197. The reversal of 2412144 is 4412142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189 + ... + 2204.

22412144 is an apocalyptic number.

2412144 is a gapful number since it is divisible by the number (24) 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 2412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2412144 is an abundant number, since it is smaller than the sum of its proper divisors (5306112).

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

2412144 is a wasteful number, since it uses less digits than its factorization.

2412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2412144 is about 1553.1078520180. The cubic root of 2412144 is about 134.1120322455.

Adding to 2412144 its reverse (4412142), we get a palindrome (6824286).

It can be divided in two parts, 2412 and 144, that added together give a triangular number (2556 = T71).

The spelling of 2412144 in words is "two million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2393 4786 7179 9572 14358 16751 19144 21537 28716 33502 38288 43074 50253 57432 67004 86148 100506 114864 134008 150759 172296 201012 268016 301518 344592 402024 603036 804048 1206072 2412144