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145653116 = 22753611609
BaseRepresentation
bin10001010111001…
…11110101111100
3101011001221111212
420223213311330
5244241344431
622241503552
73416013440
oct1053476574
9334057455
10145653116
1175243384
1240941bb8
132423949b
14154b6820
15cbc172b
hex8ae7d7c

145653116 has 48 divisors (see below), whose sum is σ = 301855680. Its totient is φ = 60203520.

The previous prime is 145653113. The next prime is 145653173. The reversal of 145653116 is 611356541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145653113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89720 + ... + 91328.

It is an arithmetic number, because the mean of its divisors is an integer number (6288660).

Almost surely, 2145653116 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 145653116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927840).

145653116 is an abundant number, since it is smaller than the sum of its proper divisors (156202564).

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

145653116 is a wasteful number, since it uses less digits than its factorization.

145653116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1732 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 145653116 is about 12068.6832753205. The cubic root of 145653116 is about 526.1463880510.

The spelling of 145653116 in words is "one hundred forty-five million, six hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 53 61 106 122 212 244 371 427 742 854 1484 1609 1708 3218 3233 6436 6466 11263 12932 22526 22631 45052 45262 85277 90524 98149 170554 196298 341108 392596 596939 687043 1193878 1374086 2387756 2748172 5201897 10403794 20807588 36413279 72826558 145653116