Search a number
-
+
1043645148 = 22387131923
BaseRepresentation
bin111110001101001…
…100001011011100
32200201210200000000
4332031030023130
54114133121043
6251320534300
734601560140
oct7615141334
92621720000
101043645148
11496124057
12251621390
131382abc10
149c86d220
15619532d3
hex3e34c2dc

1043645148 has 432 divisors, whose sum is σ = 3703365120. Its totient is φ = 249422976.

The previous prime is 1043645137. The next prime is 1043645179. The reversal of 1043645148 is 8415463401.

1043645148 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 645 + 1 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45375865 + ... + 45375887.

Almost surely, 21043645148 is an apocalyptic number.

1043645148 is a gapful number since it is divisible by the number (18) 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 1043645148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851682560).

1043645148 is an abundant number, since it is smaller than the sum of its proper divisors (2659719972).

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

1043645148 is a wasteful number, since it uses less digits than its factorization.

1043645148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1043645148 is about 32305.4971792728. The cubic root of 1043645148 is about 1014.3417145983.

The spelling of 1043645148 in words is "one billion, forty-three million, six hundred forty-five thousand, one hundred forty-eight".