Search a number
-
+
29660727060 = 22325164781817
BaseRepresentation
bin11011100111111010…
…101100011100010100
32211120002220001101200
4123213322230130110
5441221121231220
621343112152500
72100010006626
oct334772543424
984502801350
1029660727060
1111640786278
1258b9398730
132a48cc6693
141615370c16
15b88e5d890
hex6e7eac714

29660727060 has 36 divisors (see below), whose sum is σ = 89970872628. Its totient is φ = 7909527168.

The previous prime is 29660727029. The next prime is 29660727077. The reversal of 29660727060 is 6072706692.

It can be written as a sum of positive squares in 2 ways, for example, as 8294473476 + 21366253584 = 91074^2 + 146172^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 29660726997 and 29660727015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82390729 + ... + 82391088.

Almost surely, 229660727060 is an apocalyptic number.

29660727060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29660727060 is an abundant number, since it is smaller than the sum of its proper divisors (60310145568).

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

29660727060 is a wasteful number, since it uses less digits than its factorization.

29660727060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164781832 (or 164781827 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 29660727060 in words is "twenty-nine billion, six hundred sixty million, seven hundred twenty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 164781817 329563634 494345451 659127268 823909085 988690902 1483036353 1647818170 1977381804 2471727255 2966072706 3295636340 4943454510 5932145412 7415181765 9886909020 14830363530 29660727060