Search a number
-
+
1516630356 = 223242128621
BaseRepresentation
bin101101001100101…
…1111000101010100
310220200210210201200
41122121133011110
511101224132411
6410254352500
752404100563
oct13231370524
93820723650
101516630356
1170910991a
12363abb730
131b2295a17
141055d1bda
158d231e56
hex5a65f154

1516630356 has 18 divisors (see below), whose sum is σ = 3833704602. Its totient is φ = 505543440.

The previous prime is 1516630337. The next prime is 1516630363. The reversal of 1516630356 is 6530366151.

1516630356 is a `hidden beast` number, since 1 + 5 + 16 + 630 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1190250000 + 326380356 = 34500^2 + 18066^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 42128621 = 1516630356 / (1 + 5 + 1 + 6 + 6 + 3 + 0 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 1516630356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21064275 + ... + 21064346.

It is an arithmetic number, because the mean of its divisors is an integer number (212983589).

Almost surely, 21516630356 is an apocalyptic number.

It is an amenable number.

1516630356 is an abundant number, since it is smaller than the sum of its proper divisors (2317074246).

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

1516630356 is a wasteful number, since it uses less digits than its factorization.

1516630356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42128631 (or 42128626 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1516630356 is about 38943.9386297791. The cubic root of 1516630356 is about 1148.9291496010.

The spelling of 1516630356 in words is "one billion, five hundred sixteen million, six hundred thirty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 42128621 84257242 126385863 168514484 252771726 379157589 505543452 758315178 1516630356