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1163147040 = 253451141199
BaseRepresentation
bin100010101010100…
…0011011100100000
310000001122222210000
41011111003130200
54340231201130
6311230140000
740552405146
oct10525033440
93001588700
101163147040
11547625650
12285651600
13156c901b3
14b0699596
156c1ab260
hex45543720

1163147040 has 480 divisors, whose sum is σ = 4610390400. Its totient is φ = 273715200.

The previous prime is 1163147017. The next prime is 1163147047. The reversal of 1163147040 is 407413611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11631470402 = 2705822073321523200, which contains 22 as substring.

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 = 1163146995 and 1163147013.

It is not an unprimeable number, because it can be changed into a prime (1163147047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5844861 + ... + 5845059.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 21163147040 is an apocalyptic number.

1163147040 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 1163147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305195200).

1163147040 is an abundant number, since it is smaller than the sum of its proper divisors (3447243360).

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

1163147040 is a wasteful number, since it uses less digits than its factorization.

1163147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1163147040 is about 34104.9415774313. The cubic root of 1163147040 is about 1051.6669033659. Note that the first 3 decimals are identical.

The spelling of 1163147040 in words is "one billion, one hundred sixty-three million, one hundred forty-seven thousand, forty".