Search a number
-
+
153553014 = 23223421881
BaseRepresentation
bin10010010011100…
…00100001110110
3101200221022010200
421021300201312
5303302144024
623123101330
73543115266
oct1111604166
9350838120
10153553014
117974971a
1243511846
1325a74194
14165717a6
15d7322c9
hex9270876

153553014 has 48 divisors (see below), whose sum is σ = 348382944. Its totient is φ = 48787200.

The previous prime is 153552983. The next prime is 153553019. The reversal of 153553014 is 410355351.

153553014 is a `hidden beast` number, since 1 + 5 + 355 + 301 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153553019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173854 + ... + 174734.

It is an arithmetic number, because the mean of its divisors is an integer number (7257978).

Almost surely, 2153553014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153553014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174191472).

153553014 is an abundant number, since it is smaller than the sum of its proper divisors (194829930).

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

153553014 is a wasteful number, since it uses less digits than its factorization.

153553014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 153553014 is about 12391.6509795911. The cubic root of 153553014 is about 535.4917468984.

The spelling of 153553014 in words is "one hundred fifty-three million, five hundred fifty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 421 842 881 1263 1762 2526 2643 3789 5286 7578 7929 9683 15858 19366 20263 29049 40526 58098 60789 87147 121578 174294 182367 364734 370901 741802 1112703 2225406 3338109 6676218 8530723 17061446 25592169 51184338 76776507 153553014