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145005036 = 2231117192179
BaseRepresentation
bin10001010010010…
…01100111101100
3101002212000111220
420221021213230
5244110130121
622215543340
73410344131
oct1051114754
9332760456
10145005036
1174940480
124068ab50
13240704c7
1415388588
15cae46c6
hex8a499ec

145005036 has 144 divisors (see below), whose sum is σ = 414771840. Its totient is φ = 38960640.

The previous prime is 145005013. The next prime is 145005037. The reversal of 145005036 is 630500541.

It is a super-2 number, since 2×1450050362 = 42052920930722592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145004997 and 145005015.

It is not an unprimeable number, because it can be changed into a prime (145005037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809995 + ... + 810173.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2145005036 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 145005036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

145005036 is an abundant number, since it is smaller than the sum of its proper divisors (269766804).

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

145005036 is a wasteful number, since it uses less digits than its factorization.

145005036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 145005036 is about 12041.8036854950. The cubic root of 145005036 is about 525.3648692636.

Adding to 145005036 its reverse (630500541), we get a palindrome (775505577).

The spelling of 145005036 in words is "one hundred forty-five million, five thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 179 187 204 209 228 323 358 361 374 418 537 561 627 646 716 722 748 836 969 1074 1083 1122 1254 1292 1444 1938 1969 2148 2166 2244 2508 3043 3401 3553 3876 3938 3971 4332 5907 6086 6137 6802 7106 7876 7942 9129 10203 10659 11814 11913 12172 12274 13604 14212 15884 18258 18411 20406 21318 23628 23826 24548 33473 36516 36822 37411 40812 42636 47652 57817 64619 66946 67507 73644 74822 100419 112233 115634 129238 133892 135014 149644 173451 193857 200838 202521 224466 231268 258476 270028 346902 387714 401676 405042 448932 635987 693804 710809 775428 810084 1098523 1271974 1421618 1907961 2132427 2197046 2543948 2843236 3295569 3815922 4264854 4394092 6591138 7631844 8529708 12083753 13182276 24167506 36251259 48335012 72502518 145005036