Search a number
-
+
144192960 = 263455563
BaseRepresentation
bin10001001100000…
…11010111000000
3101001022202120000
420212003113000
5243403133320
622150320000
73400422432
oct1046032700
9331282500
10144192960
117443633a
1240359000
1323b479a2
1415216652
15c9d3c90
hex89835c0

144192960 has 140 divisors (see below), whose sum is σ = 513011928. Its totient is φ = 38444544.

The previous prime is 144192907. The next prime is 144193001. The reversal of 144192960 is 69291441.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23139 + ... + 28701.

Almost surely, 2144192960 is an apocalyptic number.

144192960 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 144192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256505964).

144192960 is an abundant number, since it is smaller than the sum of its proper divisors (368818968).

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

144192960 is an equidigital number, since it uses as much as digits as its factorization.

144192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 144192960 is about 12008.0373084031. The cubic root of 144192960 is about 524.3822939107.

The spelling of 144192960 in words is "one hundred forty-four million, one hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 5563 6480 8640 11126 12960 16689 22252 25920 27815 33378 44504 50067 55630 66756 83445 89008 100134 111260 133512 150201 166890 178016 200268 222520 250335 267024 300402 333780 356032 400536 445040 450603 500670 534048 600804 667560 751005 801072 890080 901206 1001340 1068096 1201608 1335120 1502010 1602144 1780160 1802412 2002680 2253015 2403216 2670240 3004020 3204288 3604824 4005360 4506030 4806432 5340480 6008040 7209648 8010720 9012060 9612864 12016080 14419296 16021440 18024120 24032160 28838592 36048240 48064320 72096480 144192960