Search a number
-
+
144673360 = 24513139109
BaseRepresentation
bin10001001111110…
…00101001010000
3101002020011112121
420213320221100
5244014021420
622204504024
73404463136
oct1047705120
9332204477
10144673360
1174734267
124054b014
1323c85550
14152dd756
15ca7b2aa
hex89f8a50

144673360 has 40 divisors (see below), whose sum is σ = 362242440. Its totient is φ = 53417472.

The previous prime is 144673357. The next prime is 144673409. The reversal of 144673360 is 63376441.

It can be written as a sum of positive squares in 4 ways, for example, as 21196816 + 123476544 = 4604^2 + 11112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68515 + ... + 70594.

It is an arithmetic number, because the mean of its divisors is an integer number (9056061).

Almost surely, 2144673360 is an apocalyptic number.

144673360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144673360 is an abundant number, since it is smaller than the sum of its proper divisors (217569080).

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

144673360 is a wasteful number, since it uses less digits than its factorization.

144673360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139135 (or 139129 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 144673360 is about 12028.0239441065. The cubic root of 144673360 is about 524.9640005550.

The spelling of 144673360 in words is "one hundred forty-four million, six hundred seventy-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 139109 278218 556436 695545 1112872 1391090 1808417 2225744 2782180 3616834 5564360 7233668 9042085 11128720 14467336 18084170 28934672 36168340 72336680 144673360