Search a number
-
+
144915540 = 223572114481
BaseRepresentation
bin10001010001100…
…11110001010100
3101002200110202020
420220303301110
5244044244130
622214013140
73406522200
oct1050636124
9332613666
10144915540
117488a210
12406471b0
132403b853
1415363b00
15cac7e10
hex8a33c54

144915540 has 144 divisors (see below), whose sum is σ = 515035584. Its totient is φ = 30105600.

The previous prime is 144915539. The next prime is 144915559. The reversal of 144915540 is 45519441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30100 + ... + 34580.

It is an arithmetic number, because the mean of its divisors is an integer number (3576636).

Almost surely, 2144915540 is an apocalyptic number.

144915540 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 144915540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257517792).

144915540 is an abundant number, since it is smaller than the sum of its proper divisors (370120044).

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

144915540 is a wasteful number, since it uses less digits than its factorization.

144915540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 144915540 is about 12038.0870573360. The cubic root of 144915540 is about 525.2567632924.

The spelling of 144915540 in words is "one hundred forty-four million, nine hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4481 4620 5390 6468 8085 8962 10780 13443 16170 17924 22405 26886 31367 32340 44810 49291 53772 62734 67215 89620 94101 98582 125468 134430 147873 156835 188202 197164 219569 246455 268860 295746 313670 345037 376404 439138 470505 492910 591492 627340 658707 690074 739365 878276 941010 985820 1035111 1097845 1317414 1380148 1478730 1725185 1882020 2070222 2195690 2415259 2634828 2957460 3293535 3450370 4140444 4391380 4830518 5175555 6587070 6900740 7245777 9661036 10351110 12076295 13174140 14491554 20702220 24152590 28983108 36228885 48305180 72457770 144915540