Search a number
-
+
145156864 = 282389277
BaseRepresentation
bin10001010011011…
…10101100000000
3101010010201210011
420221232230000
5244130004424
622223114304
73411545566
oct1051565400
9333121704
10145156864
1174a34556
1240742994
13240c4648
14153c7a36
15cb24694
hex8a6eb00

145156864 has 72 divisors (see below), whose sum is σ = 306845280. Its totient is φ = 68395008.

The previous prime is 145156859. The next prime is 145156867. The reversal of 145156864 is 468651541.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145156867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523894 + ... + 524170.

It is an arithmetic number, because the mean of its divisors is an integer number (4261740).

Almost surely, 2145156864 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 145156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153422640).

145156864 is an abundant number, since it is smaller than the sum of its proper divisors (161688416).

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

145156864 is an equidigital number, since it uses as much as digits as its factorization.

145156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 145156864 is about 12048.1062412314. The cubic root of 145156864 is about 525.5481669759.

The spelling of 145156864 in words is "one hundred forty-five million, one hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 277 356 368 554 712 736 1108 1424 1472 2047 2216 2848 2944 4094 4432 5696 5888 6371 8188 8864 11392 12742 16376 17728 22784 24653 25484 32752 35456 49306 50968 65504 70912 98612 101936 131008 197224 203872 262016 394448 407744 524032 567019 788896 815488 1134038 1577792 1630976 2268076 3155584 4536152 6311168 9072304 18144608 36289216 72578432 145156864