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1080502272 = 2113231261
BaseRepresentation
bin100000001100111…
…0010100000000000
32210022011012110200
41000121302200000
54203102033042
6255114525200
735530055253
oct10031624000
92708135420
101080502272
11504a08393
12261a36800
13142b15075
14a370509a
1564cd3c4c
hex40672800

1080502272 has 216 divisors, whose sum is σ = 3277466010. Its totient is φ = 342835200.

The previous prime is 1080502229. The next prime is 1080502277. The reversal of 1080502272 is 2722050801.

1080502272 is a `hidden beast` number, since 10 + 80 + 502 + 2 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1071645696 + 8856576 = 32736^2 + 2976^2 .

It is not an unprimeable number, because it can be changed into a prime (1080502277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17713122 + ... + 17713182.

Almost surely, 21080502272 is an apocalyptic number.

1080502272 is a gapful number since it is divisible by the number (12) 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 1080502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638733005).

1080502272 is an abundant number, since it is smaller than the sum of its proper divisors (2196963738).

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

1080502272 is an equidigital number, since it uses as much as digits as its factorization.

1080502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1080502272 is about 32870.9943871493. The cubic root of 1080502272 is about 1026.1445939187.

The spelling of 1080502272 in words is "one billion, eighty million, five hundred two thousand, two hundred seventy-two".