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1442144 = 251117241
BaseRepresentation
bin101100000000101100000
32201021020202
411200011200
5332122034
650524332
715154334
oct5400540
92637222
101442144
118a5560
125966a8
133b6552
142977c4
151d747e
hex160160

1442144 has 48 divisors (see below), whose sum is σ = 3293136. Its totient is φ = 614400.

The previous prime is 1442143. The next prime is 1442159. The reversal of 1442144 is 4412441.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442143) 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, 5864 + ... + 6104.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

21442144 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 1442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646568).

1442144 is an abundant number, since it is smaller than the sum of its proper divisors (1850992).

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

1442144 is a wasteful number, since it uses less digits than its factorization.

1442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

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

The square root of 1442144 is about 1200.8930010621. The cubic root of 1442144 is about 112.9803395978.

Adding to 1442144 its reverse (4412441), we get a palindrome (5854585).

The spelling of 1442144 in words is "one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 241 272 352 374 482 544 748 964 1496 1928 2651 2992 3856 4097 5302 5984 7712 8194 10604 16388 21208 32776 42416 45067 65552 84832 90134 131104 180268 360536 721072 1442144