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144483960 = 23351577669
BaseRepresentation
bin10001001110010…
…10011001111000
3101001212112201210
420213022121320
5243441441320
622200443120
73403044015
oct1047123170
9331775653
10144483960
1174614a35
12404794a0
1323c1a28a
141529070c
15ca400e0
hex89ca678

144483960 has 64 divisors (see below), whose sum is σ = 436269600. Its totient is φ = 38278656.

The previous prime is 144483917. The next prime is 144483973. The reversal of 144483960 is 69384441.

It is a happy number.

It is a super-2 number, since 2×1444839602 = 41751229394563200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15006 + ... + 22674.

Almost surely, 2144483960 is an apocalyptic number.

144483960 is a gapful number since it is divisible by the number (10) 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 144483960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218134800).

144483960 is an abundant number, since it is smaller than the sum of its proper divisors (291785640).

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

144483960 is a wasteful number, since it uses less digits than its factorization.

144483960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 144483960 is about 12020.1480856103. The cubic root of 144483960 is about 524.7348139185.

The spelling of 144483960 in words is "one hundred forty-four million, four hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 7669 9420 15338 18840 23007 30676 38345 46014 61352 76690 92028 115035 153380 184056 230070 306760 460140 920280 1204033 2408066 3612099 4816132 6020165 7224198 9632264 12040330 14448396 18060495 24080660 28896792 36120990 48161320 72241980 144483960