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1157130240 = 2113575381
BaseRepresentation
bin100010011111000…
…0110100000000000
32222122100022021120
41010332012200000
54332211131430
6310453152240
740450305360
oct10476064000
92878308246
101157130240
11544196092
1228362b680
13155964666
14ad9709a0
156b8bd610
hex44f86800

1157130240 has 192 divisors, whose sum is σ = 4231543680. Its totient is φ = 264437760.

The previous prime is 1157130217. The next prime is 1157130251. The reversal of 1157130240 is 420317511.

1157130240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1157130240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212350 + ... + 217730.

It is an arithmetic number, because the mean of its divisors is an integer number (22039290).

Almost surely, 21157130240 is an apocalyptic number.

1157130240 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 1157130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115771840).

1157130240 is an abundant number, since it is smaller than the sum of its proper divisors (3074413440).

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

1157130240 is an equidigital number, since it uses as much as digits as its factorization.

1157130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1157130240 is about 34016.6171157568. The cubic root of 1157130240 is about 1049.8503913825.

Adding to 1157130240 its reverse (420317511), we get a palindrome (1577447751).

The spelling of 1157130240 in words is "one billion, one hundred fifty-seven million, one hundred thirty thousand, two hundred forty".