Search a number
-
+
2153442132 = 223333759167
BaseRepresentation
bin1000000001011010…
…1110101101010100
312120002002012021000
42000112232231110
513402240122012
6553403423300
7104235645642
oct20026565524
95502065230
102153442132
11a0561aa46
12501224b30
132841acc1a
14165ddc192
15c90c1ddc
hex805aeb54

2153442132 has 48 divisors (see below), whose sum is σ = 5599659520. Its totient is φ = 715671936.

The previous prime is 2153442127. The next prime is 2153442163. The reversal of 2153442132 is 2312443512.

2153442132 is a `hidden beast` number, since 215 + 3 + 442 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2153442096 and 2153442105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6813 + ... + 65979.

Almost surely, 22153442132 is an apocalyptic number.

It is an amenable number.

2153442132 is an abundant number, since it is smaller than the sum of its proper divisors (3446217388).

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

2153442132 is a wasteful number, since it uses less digits than its factorization.

2153442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59517 (or 59509 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2153442132 is about 46405.1950971009. The cubic root of 2153442132 is about 1291.3512935790.

Adding to 2153442132 its reverse (2312443512), we get a palindrome (4465885644).

The spelling of 2153442132 in words is "two billion, one hundred fifty-three million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 337 674 1011 1348 2022 3033 4044 6066 9099 12132 18198 36396 59167 118334 177501 236668 355002 532503 710004 1065006 1597509 2130012 3195018 6390036 19939279 39878558 59817837 79757116 119635674 179453511 239271348 358907022 538360533 717814044 1076721066 2153442132