Search a number
-
+
145333305 = 3351382811
BaseRepresentation
bin10001010100110…
…01110000111001
3101010110200211000
420222121300321
5244201131210
622230555213
73413212155
oct1052316071
9333420730
10145333305
1175045077
1240808b09
1324156a50
1415432065
15cb5bac0
hex8a99c39

145333305 has 32 divisors (see below), whose sum is σ = 278248320. Its totient is φ = 71547840.

The previous prime is 145333303. The next prime is 145333319. The reversal of 145333305 is 503333541.

It is a happy number.

It is not a de Polignac number, because 145333305 - 21 = 145333303 is a prime.

It is a super-2 number, since 2×1453333052 = 42243539084446050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145333303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39651 + ... + 43160.

It is an arithmetic number, because the mean of its divisors is an integer number (8695260).

Almost surely, 2145333305 is an apocalyptic number.

145333305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145333305 is a deficient number, since it is larger than the sum of its proper divisors (132915015).

145333305 is a wasteful number, since it uses less digits than its factorization.

145333305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82838 (or 82832 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 145333305 is about 12055.4263715557. The cubic root of 145333305 is about 525.7610187739.

Adding to 145333305 its reverse (503333541), we get a palindrome (648666846).

The spelling of 145333305 in words is "one hundred forty-five million, three hundred thirty-three thousand, three hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 82811 248433 414055 745299 1076543 1242165 2235897 3229629 3726495 5382715 9688887 11179485 16148145 29066661 48444435 145333305