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145143306 = 23371167521
BaseRepresentation
bin10001010011010…
…11011000001010
3101010010001012000
420221223120022
5244124041211
622222531430
73411461220
oct1051533012
9333101160
10145143306
1174a25350
1240736b76
13240bb419
14153c2b10
15cb20656
hex8a6b60a

145143306 has 128 divisors (see below), whose sum is σ = 408913920. Its totient is φ = 37065600.

The previous prime is 145143301. The next prime is 145143307. The reversal of 145143306 is 603341541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 145143306.

It is not an unprimeable number, because it can be changed into a prime (145143301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278326 + ... + 278846.

It is an arithmetic number, because the mean of its divisors is an integer number (3194640).

Almost surely, 2145143306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145143306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204456960).

145143306 is an abundant number, since it is smaller than the sum of its proper divisors (263770614).

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

145143306 is a wasteful number, since it uses less digits than its factorization.

145143306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 145143306 is about 12047.5435670513. The cubic root of 145143306 is about 525.5318039791.

Adding to 145143306 its reverse (603341541), we get a palindrome (748484847).

The spelling of 145143306 in words is "one hundred forty-five million, one hundred forty-three thousand, three hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 67 77 99 126 134 154 189 198 201 231 297 378 402 462 469 521 594 603 693 737 938 1042 1206 1386 1407 1474 1563 1809 2079 2211 2814 3126 3618 3647 4158 4221 4422 4689 5159 5731 6633 7294 8442 9378 10318 10941 11462 12663 13266 14067 15477 17193 19899 21882 25326 28134 30954 32823 34386 34907 39798 40117 46431 51579 65646 69814 80234 92862 98469 103158 104721 120351 139293 154737 196938 209442 240702 244349 278586 309474 314163 361053 383977 488698 628326 722106 733047 767954 942489 1083159 1151931 1466094 1884978 2166318 2199141 2303862 2687839 3455793 4398282 5375678 6597423 6911586 8063517 10367379 13194846 16127034 20734758 24190551 48381102 72571653 145143306