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1230144 = 26343149
BaseRepresentation
bin100101100010101000000
32022111102220
410230111000
5303331034
642211040
713312266
oct4542500
92274386
101230144
11770253
124b3a80
13340bc6
14240436
15194749
hex12c540

1230144 has 56 divisors (see below), whose sum is σ = 3352800. Its totient is φ = 397824.

The previous prime is 1230127. The next prime is 1230167. The reversal of 1230144 is 4410321.

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, 8182 + ... + 8330.

21230144 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 1230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676400).

1230144 is an abundant number, since it is smaller than the sum of its proper divisors (2122656).

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

1230144 is a wasteful number, since it uses less digits than its factorization.

1230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1230144 is about 1109.1185689546. The cubic root of 1230144 is about 107.1483080401.

Adding to 1230144 its reverse (4410321), we get a palindrome (5640465).

The spelling of 1230144 in words is "one million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 149 172 192 258 298 344 447 516 596 688 894 1032 1192 1376 1788 2064 2384 2752 3576 4128 4768 6407 7152 8256 9536 12814 14304 19221 25628 28608 38442 51256 76884 102512 153768 205024 307536 410048 615072 1230144