Search a number
-
+
153153441 = 3272431007
BaseRepresentation
bin10010010000011…
…10111110100001
3101200012000000200
421020032332201
5303201402231
623110335413
73536532330
oct1110167641
9350160020
10153153441
11794a64a1
124335a569
132596434c
14164a9d17
15d6a3be6
hex920efa1

153153441 has 12 divisors (see below), whose sum is σ = 252824832. Its totient is φ = 87516216.

The previous prime is 153153421. The next prime is 153153443. The reversal of 153153441 is 144351351.

It is a happy number.

153153441 is a `hidden beast` number, since 1 + 5 + 315 + 344 + 1 = 666.

It is not a de Polignac number, because 153153441 - 219 = 152629153 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153153443) 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 11 ways as a sum of consecutive naturals, for example, 1215441 + ... + 1215566.

It is an arithmetic number, because the mean of its divisors is an integer number (21068736).

Almost surely, 2153153441 is an apocalyptic number.

It is an amenable number.

153153441 is a deficient number, since it is larger than the sum of its proper divisors (99671391).

153153441 is a wasteful number, since it uses less digits than its factorization.

153153441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431020 (or 2431017 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 153153441 is about 12375.5178073485. The cubic root of 153153441 is about 535.0268609683.

It can be divided in two parts, 15315344 and 1, that added together give a triangular number (15315345 = T5534).

The spelling of 153153441 in words is "one hundred fifty-three million, one hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 2431007 7293021 17017049 21879063 51051147 153153441