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1080330240 = 211351123139
BaseRepresentation
bin100000001100100…
…1000100000000000
32210021211110111010
41000121020200000
54203031031430
6255111120520
735525440563
oct10031104000
92707743433
101080330240
11504900110
12261973140
13142a84982
14a369c4da
1564c9ccb0
hex40648800

1080330240 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 248709120.

The previous prime is 1080330233. The next prime is 1080330299. The reversal of 1080330240 is 420330801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10803302402 = 2334226854916915200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7772091 + ... + 7772229.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 21080330240 is an apocalyptic number.

1080330240 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 1080330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1080330240 is an abundant number, since it is smaller than the sum of its proper divisors (2882319360).

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

1080330240 is a wasteful number, since it uses less digits than its factorization.

1080330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1080330240 is about 32868.3775078722. The cubic root of 1080330240 is about 1026.0901318780.

The spelling of 1080330240 in words is "one billion, eighty million, three hundred thirty thousand, two hundred forty".