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996000144 = 243109190367
BaseRepresentation
bin111011010111011…
…100000110010000
32120102011001100020
4323113130012100
54014434001034
6242455423440
733452601336
oct7327340620
92512131306
10996000144
11471241717
12239684b80
1312b4696c9
14963c9b56
155c691249
hex3b5dc190

996000144 has 40 divisors (see below), whose sum is σ = 2596619520. Its totient is φ = 328952448.

The previous prime is 996000143. The next prime is 996000149. The reversal of 996000144 is 441000699.

996000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (996000143) 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, 89952 + ... + 100415.

It is an arithmetic number, because the mean of its divisors is an integer number (64915488).

Almost surely, 2996000144 is an apocalyptic number.

It is an amenable number.

996000144 is an abundant number, since it is smaller than the sum of its proper divisors (1600619376).

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

996000144 is a wasteful number, since it uses less digits than its factorization.

996000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190487 (or 190481 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 996000144 is about 31559.4699575262. The cubic root of 996000144 is about 998.6649330561.

The spelling of 996000144 in words is "nine hundred ninety-six million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 190367 380734 571101 761468 1142202 1522936 2284404 3045872 4568808 9137616 20750003 41500006 62250009 83000012 124500018 166000024 249000036 332000048 498000072 996000144