Search a number
-
+
144601020 = 223251942281
BaseRepresentation
bin10001001111001…
…10111110111100
3101002002111022100
420213212332330
5244004213040
622203145100
73404042214
oct1047467674
9332074270
10144601020
1174694983
1240515190
1323c5b645
14152c1244
15ca64b30
hex89e6fbc

144601020 has 72 divisors (see below), whose sum is σ = 461719440. Its totient is φ = 36529920.

The previous prime is 144601003. The next prime is 144601063. The reversal of 144601020 is 20106441.

144601020 is a `hidden beast` number, since 1 + 44 + 601 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144600984 and 144601002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17721 + ... + 24560.

It is an arithmetic number, because the mean of its divisors is an integer number (6412770).

Almost surely, 2144601020 is an apocalyptic number.

144601020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144601020 is an abundant number, since it is smaller than the sum of its proper divisors (317118420).

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

144601020 is a wasteful number, since it uses less digits than its factorization.

144601020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42315 (or 42310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144601020 is about 12025.0164241052. The cubic root of 144601020 is about 524.8764879515.

Adding to 144601020 its reverse (20106441), we get a palindrome (164707461).

The spelling of 144601020 in words is "one hundred forty-four million, six hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 42281 84562 126843 169124 211405 253686 380529 422810 507372 634215 761058 803339 845620 1268430 1522116 1606678 1902645 2410017 2536860 3213356 3805290 4016695 4820034 7230051 7610580 8033390 9640068 12050085 14460102 16066780 24100170 28920204 36150255 48200340 72300510 144601020