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1442916 = 2232149269
BaseRepresentation
bin101100000010001100100
32201022022100
411200101210
5332133131
650532100
715156516
oct5402144
92638270
101442916
118a60a2
12597030
133b69c7
14297bb6
151d77e6
hex160464

1442916 has 36 divisors (see below), whose sum is σ = 3685500. Its totient is φ = 475968.

The previous prime is 1442911. The next prime is 1442921. The reversal of 1442916 is 6192441.

It is an interprime number because it is at equal distance from previous prime (1442911) and next prime (1442921).

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 1313316 = 360^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1442916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5230 + ... + 5498.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

21442916 is an apocalyptic number.

It is an amenable number.

1442916 is an abundant number, since it is smaller than the sum of its proper divisors (2242584).

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

1442916 is a wasteful number, since it uses less digits than its factorization.

1442916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1442916 is about 1201.2143855282. The cubic root of 1442916 is about 113.0004959907. Note that the first 3 decimals are identical.

It can be divided in two parts, 144 and 2916, that multiplied together give a square (419904 = 6482).

The spelling of 1442916 in words is "one million, four hundred forty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 149 269 298 447 538 596 807 894 1076 1341 1614 1788 2421 2682 3228 4842 5364 9684 40081 80162 120243 160324 240486 360729 480972 721458 1442916