Search a number
-
+
153507132 = 22326176911
BaseRepresentation
bin10010010011001…
…01010100111100
3101200211222012100
421021211110330
5303244212012
623122105100
73542534442
oct1111452474
9350758170
10153507132
11797181a9
12434ab190
1325a5932c
141655cb92
15d7238dc
hex926553c

153507132 has 36 divisors (see below), whose sum is σ = 388717056. Its totient is φ = 51078720.

The previous prime is 153507113. The next prime is 153507149. The reversal of 153507132 is 231705351.

153507132 is a `hidden beast` number, since 153 + 507 + 1 + 3 + 2 = 666.

153507132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 153507096 and 153507105.

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, 18757 + ... + 25667.

It is an arithmetic number, because the mean of its divisors is an integer number (10797696).

Almost surely, 2153507132 is an apocalyptic number.

153507132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153507132 is an abundant number, since it is smaller than the sum of its proper divisors (235209924).

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

153507132 is a wasteful number, since it uses less digits than its factorization.

153507132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 153507132 is about 12389.7995141164. The cubic root of 153507132 is about 535.4384061895.

The spelling of 153507132 in words is "one hundred fifty-three million, five hundred seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2468 3702 5553 6911 7404 11106 13822 20733 22212 27644 41466 62199 82932 124398 248796 4264087 8528174 12792261 17056348 25584522 38376783 51169044 76753566 153507132