Search a number
-
+
144510740 = 225112512617
BaseRepresentation
bin10001001110100…
…00111100010100
3101001220220110122
420213100330110
5243443320430
622201211112
73403215053
oct1047207424
9331826418
10144510740
1174633070
1240490a98
1323c2951a
141529a39a
15ca47ee5
hex89d0f14

144510740 has 48 divisors (see below), whose sum is σ = 332506944. Its totient is φ = 52320000.

The previous prime is 144510739. The next prime is 144510749. The reversal of 144510740 is 47015441.

144510740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144510749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53912 + ... + 56528.

It is an arithmetic number, because the mean of its divisors is an integer number (6927228).

Almost surely, 2144510740 is an apocalyptic number.

144510740 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 144510740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166253472).

144510740 is an abundant number, since it is smaller than the sum of its proper divisors (187996204).

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

144510740 is a wasteful number, since it uses less digits than its factorization.

144510740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 144510740 is about 12021.2619969785. The cubic root of 144510740 is about 524.7672316582.

Subtracting from 144510740 its product of nonzero digits (2240), we obtain a triangular number (144508500 = T17000).

The spelling of 144510740 in words is "one hundred forty-four million, five hundred ten thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2617 2761 5020 5234 5522 10468 11044 13085 13805 26170 27610 28787 52340 55220 57574 115148 143935 287870 575740 656867 1313734 2627468 3284335 6568670 7225537 13137340 14451074 28902148 36127685 72255370 144510740