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145530033 = 31129413709
BaseRepresentation
bin10001010110010…
…01110010110001
3101010211200200020
420223021302301
5244223430113
622235114053
73414661545
oct1053116261
9333750606
10145530033
1175169960
12408a2929
13241c545c
1415483a25
15cb9a023
hex8ac9cb1

145530033 has 32 divisors (see below), whose sum is σ = 224380800. Its totient is φ = 83059200.

The previous prime is 145530029. The next prime is 145530067. The reversal of 145530033 is 330035541.

It is a happy number.

It is not a de Polignac number, because 145530033 - 22 = 145530029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145529985 and 145530012.

It is not an unprimeable number, because it can be changed into a prime (145530733) 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, 37383 + ... + 41091.

It is an arithmetic number, because the mean of its divisors is an integer number (7011900).

Almost surely, 2145530033 is an apocalyptic number.

It is an amenable number.

145530033 is a deficient number, since it is larger than the sum of its proper divisors (78850767).

145530033 is a wasteful number, since it uses less digits than its factorization.

145530033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 145530033 is about 12063.5829254828. The cubic root of 145530033 is about 525.9981410200.

Adding to 145530033 its reverse (330035541), we get a palindrome (475565574).

It can be divided in two parts, 1455300 and 33, that multiplied together give a triangular number (48024900 = T9800).

The spelling of 145530033 in words is "one hundred forty-five million, five hundred thirty thousand, thirty-three".

Divisors: 1 3 11 29 33 41 87 123 319 451 957 1189 1353 3567 3709 11127 13079 39237 40799 107561 122397 152069 322683 456207 1183171 1672759 3549513 4410001 5018277 13230003 48510011 145530033