Search a number
-
+
153131454 = 23271215329
BaseRepresentation
bin10010010000010…
…01100110111110
3101200010212212100
421020021212332
5303200201304
623110045530
73536411250
oct1110114676
9350125770
10153131454
1179490a23
12433498a6
1325957338
14164a1cd0
15d69c439
hex92099be

153131454 has 24 divisors (see below), whose sum is σ = 379182960. Its totient is φ = 43751808.

The previous prime is 153131441. The next prime is 153131477. The reversal of 153131454 is 454131351.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 607539 + ... + 607790.

It is an arithmetic number, because the mean of its divisors is an integer number (15799290).

Almost surely, 2153131454 is an apocalyptic number.

153131454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

153131454 is an abundant number, since it is smaller than the sum of its proper divisors (226051506).

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

153131454 is a wasteful number, since it uses less digits than its factorization.

153131454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215344 (or 1215341 counting only the distinct ones).

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

The square root of 153131454 is about 12374.6294489977. The cubic root of 153131454 is about 535.0012565842.

The spelling of 153131454 in words is "one hundred fifty-three million, one hundred thirty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1215329 2430658 3645987 7291974 8507303 10937961 17014606 21875922 25521909 51043818 76565727 153131454