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1018830540 = 22357213192361
BaseRepresentation
bin111100101110100…
…001111011001100
32122000002221202110
4330232201323030
54041310034130
6245033024020
734150626300
oct7456417314
92560087673
101018830540
11483115512
12245255010
13133101210
149944dd00
155e6a0ab0
hex3cba1ecc

1018830540 has 576 divisors, whose sum is σ = 3989744640. Its totient is φ = 191600640.

The previous prime is 1018830539. The next prime is 1018830583. The reversal of 1018830540 is 450388101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1018830498 and 1018830507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16702110 + ... + 16702170.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 21018830540 is an apocalyptic number.

1018830540 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 1018830540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

1018830540 is an abundant number, since it is smaller than the sum of its proper divisors (2970914100).

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

1018830540 is a wasteful number, since it uses less digits than its factorization.

1018830540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1018830540 is about 31919.1249880068. The cubic root of 1018830540 is about 1006.2378549259.

The spelling of 1018830540 in words is "one billion, eighteen million, eight hundred thirty thousand, five hundred forty".