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153465132 = 223412711151
BaseRepresentation
bin10010010010110…
…11000100101100
3101200202211120210
421021123010230
5303241341012
623121142420
73542301132
oct1111330454
9350684523
10153465132
1179699697
124348aa10
1325a43192
141654b752
15d71623c
hex925b12c

153465132 has 48 divisors (see below), whose sum is σ = 368492544. Its totient is φ = 49680000.

The previous prime is 153465107. The next prime is 153465139. The reversal of 153465132 is 231564351.

153465132 is nontrivially palindromic in base 11.

153465132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 153465132.

It is not an unprimeable number, because it can be changed into a prime (153465139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132757 + ... + 133907.

It is an arithmetic number, because the mean of its divisors is an integer number (7676928).

Almost surely, 2153465132 is an apocalyptic number.

153465132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153465132 is an abundant number, since it is smaller than the sum of its proper divisors (215027412).

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

153465132 is a wasteful number, since it uses less digits than its factorization.

153465132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1468 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 153465132 is about 12388.1044554847. The cubic root of 153465132 is about 535.3895692309.

It can be divided in two parts, 1534 and 65132, that added together give a palindrome (66666).

The spelling of 153465132 in words is "one hundred fifty-three million, four hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 271 492 542 813 1084 1151 1626 2302 3252 3453 4604 6906 11111 13812 22222 33333 44444 47191 66666 94382 133332 141573 188764 283146 311921 566292 623842 935763 1247684 1871526 3743052 12788761 25577522 38366283 51155044 76732566 153465132