Search a number
-
+
11070184320 = 27325131931251
BaseRepresentation
bin10100100111101010…
…11001101110000000
31001120111111122000200
422103311121232000
5140132431344240
65030252245200
7541221004566
oct122365315600
931514448020
1011070184320
114770915368
12218b470800
13107562c030
1477033da36
1544bd04930
hex293d59b80

11070184320 has 768 divisors, whose sum is σ = 44910028800. Its totient is φ = 2488320000.

The previous prime is 11070184309. The next prime is 11070184331. The reversal of 11070184320 is 2348107011.

It is an interprime number because it is at equal distance from previous prime (11070184309) and next prime (11070184331).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44104195 + ... + 44104445.

It is an arithmetic number, because the mean of its divisors is an integer number (58476600).

Almost surely, 211070184320 is an apocalyptic number.

11070184320 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 11070184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

11070184320 is an abundant number, since it is smaller than the sum of its proper divisors (33839844480).

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

11070184320 is a wasteful number, since it uses less digits than its factorization.

11070184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11070184320 in words is "eleven billion, seventy million, one hundred eighty-four thousand, three hundred twenty".