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144688360 = 23517212777
BaseRepresentation
bin10001001111111…
…00010011101000
3101002020221010011
420213330103220
5244020011420
622205101304
73404554645
oct1047742350
9332227104
10144688360
1174744563
1240557834
1323c8c31b
1415304dcc
15ca8095a
hex89fc4e8

144688360 has 32 divisors (see below), whose sum is σ = 344700360. Its totient is φ = 54470656.

The previous prime is 144688301. The next prime is 144688367. The reversal of 144688360 is 63886441.

144688360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 144432324 + 256036 = 12018^2 + 506^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144688367) 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, 105709 + ... + 107068.

Almost surely, 2144688360 is an apocalyptic number.

144688360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144688360 is an abundant number, since it is smaller than the sum of its proper divisors (200012000).

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

144688360 is a wasteful number, since it uses less digits than its factorization.

144688360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212805 (or 212801 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 144688360 is about 12028.6474717651. The cubic root of 144688360 is about 524.9821430056.

The spelling of 144688360 in words is "one hundred forty-four million, six hundred eighty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 212777 425554 851108 1063885 1702216 2127770 3617209 4255540 7234418 8511080 14468836 18086045 28937672 36172090 72344180 144688360