Search a number
-
+
144767420 = 225729181197
BaseRepresentation
bin10001010000011…
…11100110111100
3101002101221120022
420220033212330
5244030024140
622210511312
73405334310
oct1050174674
9332357508
10144767420
11747989a6
1240595538
1323cb92c5
1415325b40
15ca990b5
hex8a0f9bc

144767420 has 96 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 47416320.

The previous prime is 144767419. The next prime is 144767423. The reversal of 144767420 is 24767441.

144767420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144767423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734762 + ... + 734958.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2144767420 is an apocalyptic number.

144767420 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 144767420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

144767420 is an abundant number, since it is smaller than the sum of its proper divisors (218475460).

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

144767420 is a wasteful number, since it uses less digits than its factorization.

144767420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 144767420 is about 12031.9333442303. The cubic root of 144767420 is about 525.0777451002.

The spelling of 144767420 in words is "one hundred forty-four million, seven hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 181 197 203 290 362 394 406 580 724 788 812 905 985 1015 1267 1379 1810 1970 2030 2534 2758 3620 3940 4060 5068 5249 5516 5713 6335 6895 10498 11426 12670 13790 20996 22852 25340 26245 27580 28565 35657 36743 39991 52490 57130 71314 73486 79982 104980 114260 142628 146972 159964 178285 183715 199955 249599 356570 367430 399910 499198 713140 734860 799820 998396 1034053 1247995 2068106 2495990 4136212 4991980 5170265 7238371 10340530 14476742 20681060 28953484 36191855 72383710 144767420