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1157345280 = 21233571323
BaseRepresentation
bin100010011111011…
…1011000000000000
32222122202020021000
41010332323000000
54332240022110
6310501532000
740452162330
oct10476730000
92878666230
101157345280
11544322703
12283714000
13155a0b4c0
14ad9c90c0
156b9121c0
hex44fbb000

1157345280 has 832 divisors, whose sum is σ = 5284177920. Its totient is φ = 233570304.

The previous prime is 1157345279. The next prime is 1157345281. The reversal of 1157345280 is 825437511.

1157345280 is a `hidden beast` number, since 1 + 1 + 573 + 4 + 5 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1157345279) and next prime (1157345281).

It is a tau number, because it is divible by the number of its divisors (832).

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

It is not an unprimeable number, because it can be changed into a prime (1157345281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50319349 + ... + 50319371.

Almost surely, 21157345280 is an apocalyptic number.

1157345280 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 1157345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642088960).

1157345280 is an abundant number, since it is smaller than the sum of its proper divisors (4126832640).

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

1157345280 is a wasteful number, since it uses less digits than its factorization.

1157345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1157345280 is about 34019.7777770520. Note that the first 6 decimals coincide. The cubic root of 1157345280 is about 1049.9154217588.

It can be divided in two parts, 1157345 and 280, that added together give a cube (1157625 = 1053).

The spelling of 1157345280 in words is "one billion, one hundred fifty-seven million, three hundred forty-five thousand, two hundred eighty".