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144387072 = 2103215667
BaseRepresentation
bin10001001101100…
…10110000000000
3101001200121211100
420212302300000
5243430341242
622154414400
73402161364
oct1046626000
9331617740
10144387072
1174559165
1240431400
1323bb514b
14152672a4
15ca2154c
hex89b2c00

144387072 has 66 divisors (see below), whose sum is σ = 416941148. Its totient is φ = 48125952.

The previous prime is 144387059. The next prime is 144387083. The reversal of 144387072 is 270783441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1383 + ... + 17049.

Almost surely, 2144387072 is an apocalyptic number.

144387072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208470574).

144387072 is an abundant number, since it is smaller than the sum of its proper divisors (272554076).

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

144387072 is a wasteful number, since it uses less digits than its factorization.

144387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15672 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 144387072 is about 12016.1171765259. The cubic root of 144387072 is about 524.6174955323.

The spelling of 144387072 in words is "one hundred forty-four million, three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 15667 31334 47001 62668 94002 125336 141003 188004 250672 282006 376008 501344 564012 752016 1002688 1128024 1504032 2005376 2256048 3008064 4010752 4512096 6016128 8021504 9024192 12032256 16043008 18048384 24064512 36096768 48129024 72193536 144387072