Search a number
-
+
153519132 = 223131815437
BaseRepresentation
bin10010010011010…
…00010000011100
3101200212120122210
421021220100130
5303300103012
623122240420
73542614434
oct1111502034
9350776583
10153519132
1179726218
12434b6110
1325a61930
14165632c4
15d72723c
hex926841c

153519132 has 48 divisors (see below), whose sum is σ = 387968672. Its totient is φ = 46967040.

The previous prime is 153519109. The next prime is 153519139. The reversal of 153519132 is 231915351.

It is a self number, because there is not a number n which added to its sum of digits gives 153519132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153519139) 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, 25518 + ... + 30954.

Almost surely, 2153519132 is an apocalyptic number.

153519132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153519132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193984336).

153519132 is an abundant number, since it is smaller than the sum of its proper divisors (234449540).

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

153519132 is a wasteful number, since it uses less digits than its factorization.

153519132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5636 counting only the distinct ones).

The product of its digits is 4050, while the sum is 30.

The square root of 153519132 is about 12390.2837739900. The cubic root of 153519132 is about 535.4523579700.

The spelling of 153519132 in words is "one hundred fifty-three million, five hundred nineteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 2172 2353 4706 5437 7059 9412 10874 14118 16311 21748 28236 32622 65244 70681 141362 212043 282724 424086 848172 984097 1968194 2952291 3936388 5904582 11809164 12793261 25586522 38379783 51173044 76759566 153519132