Search a number
-
+
1080216576 = 210321931199
BaseRepresentation
bin100000001100010…
…1100110000000000
32210021121200120100
41000120230300000
54203013412301
6255104442400
735524455315
oct10030546000
92707550510
101080216576
1150483277a
12261919400
13142a4500a
14a366cd0c
1564c79286
hex4062cc00

1080216576 has 264 divisors, whose sum is σ = 3406208000. Its totient is φ = 328458240.

The previous prime is 1080216559. The next prime is 1080216589. The reversal of 1080216576 is 6756120801.

1080216576 is a `hidden beast` number, since 1 + 0 + 80 + 2 + 1 + 6 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1080216576.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5428125 + ... + 5428323.

Almost surely, 21080216576 is an apocalyptic number.

1080216576 is a gapful number since it is divisible by the number (16) 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 1080216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703104000).

1080216576 is an abundant number, since it is smaller than the sum of its proper divisors (2325991424).

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

1080216576 is a wasteful number, since it uses less digits than its factorization.

1080216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1080216576 is about 32866.6483840382. The cubic root of 1080216576 is about 1026.0541448575.

The spelling of 1080216576 in words is "one billion, eighty million, two hundred sixteen thousand, five hundred seventy-six".