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1155795480 = 23355716987
BaseRepresentation
bin100010011100100…
…0000101000011000
32222112211111100000
41010321000220120
54331340423410
6310404413000
740433046060
oct10471005030
92875744300
101155795480
11543464284
122830a7160
131555b7c68
14ad7043a0
156b707dc0
hex44e40a18

1155795480 has 192 divisors, whose sum is σ = 4452215040. Its totient is φ = 264166272.

The previous prime is 1155795467. The next prime is 1155795503. The reversal of 1155795480 is 845975511.

1155795480 is a `hidden beast` number, since 1 + 1 + 557 + 95 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59547 + ... + 76533.

It is an arithmetic number, because the mean of its divisors is an integer number (23188620).

Almost surely, 21155795480 is an apocalyptic number.

1155795480 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 1155795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226107520).

1155795480 is an abundant number, since it is smaller than the sum of its proper divisors (3296419560).

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

1155795480 is a wasteful number, since it uses less digits than its factorization.

1155795480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17004 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The square root of 1155795480 is about 33996.9922199009. The cubic root of 1155795480 is about 1049.4465654896.

The spelling of 1155795480 in words is "one billion, one hundred fifty-five million, seven hundred ninety-five thousand, four hundred eighty".