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144115530 = 23513449823
BaseRepresentation
bin10001001011100…
…00011101001010
3101001011211100020
420211300131022
5243343144110
622144521310
73366650616
oct1045603512
9331154306
10144115530
1174393149
1240320236
1323b1b680
14151d6346
15c9bad70
hex897074a

144115530 has 64 divisors (see below), whose sum is σ = 373766400. Its totient is φ = 35352576.

The previous prime is 144115523. The next prime is 144115537. The reversal of 144115530 is 35511441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144115523) and next prime (144115537).

It is a self number, because there is not a number n which added to its sum of digits gives 144115530.

It is not an unprimeable number, because it can be changed into a prime (144115537) 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, 174699 + ... + 175521.

It is an arithmetic number, because the mean of its divisors is an integer number (5840100).

Almost surely, 2144115530 is an apocalyptic number.

144115530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144115530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186883200).

144115530 is an abundant number, since it is smaller than the sum of its proper divisors (229650870).

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

144115530 is a wasteful number, since it uses less digits than its factorization.

144115530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 144115530 is about 12004.8127848792. The cubic root of 144115530 is about 524.2884146373.

Adding to 144115530 its reverse (35511441), we get a palindrome (179626971).

The spelling of 144115530 in words is "one hundred forty-four million, one hundred fifteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 449 823 898 1347 1646 2245 2469 2694 4115 4490 4938 5837 6735 8230 10699 11674 12345 13470 17511 21398 24690 29185 32097 35022 53495 58370 64194 87555 106990 160485 175110 320970 369527 739054 1108581 1847635 2217162 3695270 4803851 5542905 9607702 11085810 14411553 24019255 28823106 48038510 72057765 144115530