Search a number
-
+
153912969 = 3272421829
BaseRepresentation
bin10010010110010…
…00011010001001
3101201121120220100
421023020122021
5303400203334
623134520013
73546144600
oct1113103211
9351546810
10153912969
1179975101
1243666009
1325b6bc82
1416626a37
15d7a3c99
hex92c8689

153912969 has 36 divisors (see below), whose sum is σ = 259542660. Its totient is φ = 87635520.

The previous prime is 153912937. The next prime is 153912989. The reversal of 153912969 is 969219351.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30969225 + 122943744 = 5565^2 + 11088^2 .

It is not a de Polignac number, because 153912969 - 25 = 153912937 is a prime.

It is a super-2 number, since 2×1539129692 = 47378404052789922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153912919) 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 35 ways as a sum of consecutive naturals, for example, 185247 + ... + 186075.

Almost surely, 2153912969 is an apocalyptic number.

It is an amenable number.

153912969 is a deficient number, since it is larger than the sum of its proper divisors (105629691).

153912969 is a wasteful number, since it uses less digits than its factorization.

153912969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 153912969 is about 12406.1665715079. The cubic root of 153912969 is about 535.9098489968.

The spelling of 153912969 in words is "one hundred fifty-three million, nine hundred twelve thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 421 441 829 1263 2487 2947 3789 5803 7461 8841 17409 20629 26523 40621 52227 61887 121863 185661 349009 365589 1047027 2443063 3141081 7329189 17101441 21987567 51304323 153912969