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145063116 = 223311235309
BaseRepresentation
bin10001010010101…
…11110011001100
3101002221222012000
420221113303030
5244114004431
622221112300
73411005352
oct1051276314
9332858160
10145063116
1174980080
12406b8690
1324090a83
14153a17d2
15cb069e6
hex8a57ccc

145063116 has 96 divisors (see below), whose sum is σ = 428198400. Its totient is φ = 42039360.

The previous prime is 145063111. The next prime is 145063129. The reversal of 145063116 is 611360541.

145063116 is a `hidden beast` number, since 14 + 5 + 0 + 631 + 16 = 666.

145063116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 145063116.

It is not an unprimeable number, because it can be changed into a prime (145063111) 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, 24670 + ... + 29978.

It is an arithmetic number, because the mean of its divisors is an integer number (4460400).

Almost surely, 2145063116 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 145063116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214099200).

145063116 is an abundant number, since it is smaller than the sum of its proper divisors (283135284).

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

145063116 is a wasteful number, since it uses less digits than its factorization.

145063116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145063116 is about 12044.2150429158. The cubic root of 145063116 is about 525.4350027327.

The spelling of 145063116 in words is "one hundred forty-five million, sixty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 5309 6831 9108 10618 13662 15927 21236 27324 31854 47781 58399 63708 95562 116798 122107 143343 175197 191124 233596 244214 286686 350394 366321 488428 525591 573372 700788 732642 1051182 1098963 1343177 1465284 1576773 2102364 2197926 2686354 3153546 3296889 4029531 4395852 5372708 6307092 6593778 8059062 12088593 13187556 16118124 24177186 36265779 48354372 72531558 145063116