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145563366 = 231323411979
BaseRepresentation
bin10001010110100…
…01111011100110
3101010220101101210
420223101323212
5244231011431
622235532250
73415160664
oct1053217346
9333811353
10145563366
1175191a03
12408ba086
1324207690
1415491c34
15cba4d46
hex8ad1ee6

145563366 has 64 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 41775360.

The previous prime is 145563347. The next prime is 145563373. The reversal of 145563366 is 663365541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72565 + ... + 74543.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2145563366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145563366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

145563366 is an abundant number, since it is smaller than the sum of its proper divisors (189737754).

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

145563366 is a wasteful number, since it uses less digits than its factorization.

145563366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061.

The product of its digits is 194400, while the sum is 39.

The square root of 145563366 is about 12064.9644011079. The cubic root of 145563366 is about 526.0382971244.

The spelling of 145563366 in words is "one hundred forty-five million, five hundred sixty-three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 39 41 46 69 78 82 123 138 246 299 533 598 897 943 1066 1599 1794 1886 1979 2829 3198 3958 5658 5937 11874 12259 24518 25727 36777 45517 51454 73554 77181 81139 91034 136551 154362 162278 243417 273102 486834 591721 1054807 1183442 1775163 1866197 2109614 3164421 3550326 3732394 5598591 6328842 11197182 24260561 48521122 72781683 145563366