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144531720 = 23325401477
BaseRepresentation
bin10001001110101…
…10000100001000
3101001221222020200
420213112010020
5244000003340
622201452200
73403333164
oct1047260410
9331858220
10144531720
1174647903
12404a1060
1323c35c38
14152a3ca4
15ca4e330
hex89d6108

144531720 has 48 divisors (see below), whose sum is σ = 469729260. Its totient is φ = 38541696.

The previous prime is 144531713. The next prime is 144531733. The reversal of 144531720 is 27135441.

It can be written as a sum of positive squares in 2 ways, for example, as 143856036 + 675684 = 11994^2 + 822^2 .

It is a super-3 number, since 3×1445317203 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200379 + ... + 201098.

Almost surely, 2144531720 is an apocalyptic number.

144531720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144531720 is an abundant number, since it is smaller than the sum of its proper divisors (325197540).

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

144531720 is a wasteful number, since it uses less digits than its factorization.

144531720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401494 (or 401487 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144531720 is about 12022.1345858379. The cubic root of 144531720 is about 524.7926255811.

The spelling of 144531720 in words is "one hundred forty-four million, five hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401477 802954 1204431 1605908 2007385 2408862 3211816 3613293 4014770 4817724 6022155 7226586 8029540 9635448 12044310 14453172 16059080 18066465 24088620 28906344 36132930 48177240 72265860 144531720