Search a number
-
+
145523736 = 23331959601
BaseRepresentation
bin10001010110010…
…00010000011000
3101010211101001000
420223020100120
5244223224421
622235025000
73414634311
oct1053102030
9333741030
10145523736
1175165156
124089b160
13241c2627
1415481608
15cb98226
hex8ac8418

145523736 has 128 divisors (see below), whose sum is σ = 433440000. Its totient is φ = 45100800.

The previous prime is 145523731. The next prime is 145523759. The reversal of 145523736 is 637325541.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145523736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145523731) 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, 241836 + ... + 242436.

It is an arithmetic number, because the mean of its divisors is an integer number (3386250).

Almost surely, 2145523736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145523736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216720000).

145523736 is an abundant number, since it is smaller than the sum of its proper divisors (287916264).

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

145523736 is a wasteful number, since it uses less digits than its factorization.

145523736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 145523736 is about 12063.3219305463. The cubic root of 145523736 is about 525.9905543659.

The spelling of 145523736 in words is "one hundred forty-five million, five hundred twenty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 59 72 76 108 114 118 152 171 177 216 228 236 342 354 456 472 513 531 601 684 708 1026 1062 1121 1202 1368 1416 1593 1803 2052 2124 2242 2404 3186 3363 3606 4104 4248 4484 4808 5409 6372 6726 7212 8968 10089 10818 11419 12744 13452 14424 16227 20178 21636 22838 26904 30267 32454 34257 35459 40356 43272 45676 60534 64908 68514 70918 80712 91352 102771 106377 121068 129816 137028 141836 205542 212754 242136 274056 283672 308313 319131 411084 425508 616626 638262 673721 822168 851016 957393 1233252 1276524 1347442 1914786 2021163 2466504 2553048 2694884 3829572 4042326 5389768 6063489 7659144 8084652 12126978 16169304 18190467 24253956 36380934 48507912 72761868 145523736