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1410144 = 25337397
BaseRepresentation
bin101011000010001100000
32122122100120
411120101200
5330111034
650120240
714662131
oct5302140
92578316
101410144
1188350a
12580080
133a4b08
14289c88
151ccc49
hex158460

1410144 has 48 divisors (see below), whose sum is σ = 3811248. Its totient is φ = 456192.

The previous prime is 1410139. The next prime is 1410163. The reversal of 1410144 is 4410141.

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

It is a super-2 number, since 2×14101442 = 3977012201472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3354 + ... + 3750.

It is an arithmetic number, because the mean of its divisors is an integer number (79401).

21410144 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 1410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905624).

1410144 is an abundant number, since it is smaller than the sum of its proper divisors (2401104).

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

1410144 is a wasteful number, since it uses less digits than its factorization.

1410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1410144 is about 1187.4948420941. The cubic root of 1410144 is about 112.1384342641.

Adding to 1410144 its reverse (4410141), we get a palindrome (5820285).

The spelling of 1410144 in words is "one million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 397 444 592 794 888 1184 1191 1588 1776 2382 3176 3552 4764 6352 9528 12704 14689 19056 29378 38112 44067 58756 88134 117512 176268 235024 352536 470048 705072 1410144