Search a number
-
+
1147235040 = 253257271229
BaseRepresentation
bin100010001100001…
…0110101011100000
32221221201120121200
41010120112223200
54322143010130
6305501121200
740300223400
oct10430265340
92857646550
101147235040
11539647736
12280259200
131538ab703
14ac516800
156aab6760
hex44616ae0

1147235040 has 432 divisors, whose sum is σ = 4638422880. Its totient is φ = 257402880.

The previous prime is 1147235003. The next prime is 1147235051. The reversal of 1147235040 is 405327411.

It is a super-2 number, since 2×11472350402 = 2632296474007603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1147234995 and 1147235013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5009646 + ... + 5009874.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 21147235040 is an apocalyptic number.

1147235040 is a gapful number since it is divisible by the number (10) 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 1147235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319211440).

1147235040 is an abundant number, since it is smaller than the sum of its proper divisors (3491187840).

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

1147235040 is a wasteful number, since it uses less digits than its factorization.

1147235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1147235040 is about 33870.8582707908. The cubic root of 1147235040 is about 1046.8492214518.

The spelling of 1147235040 in words is "one billion, one hundred forty-seven million, two hundred thirty-five thousand, forty".