Search a number
-
+
1109342880 = 253253747443
BaseRepresentation
bin100001000011111…
…0011101010100000
32212022102110100100
41002013303222200
54232442433010
6302025022400
736330154542
oct10207635240
92768373310
101109342880
1151a2167a8
1226b624a00
13148aa2409
14a7491692
15675ce2c0
hex421f3aa0

1109342880 has 288 divisors, whose sum is σ = 3979632384. Its totient is φ = 281069568.

The previous prime is 1109342879. The next prime is 1109342921. The reversal of 1109342880 is 882439011.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503939 + ... + 2504381.

It is an arithmetic number, because the mean of its divisors is an integer number (13818168).

Almost surely, 21109342880 is an apocalyptic number.

1109342880 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 1109342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989816192).

1109342880 is an abundant number, since it is smaller than the sum of its proper divisors (2870289504).

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

1109342880 is a wasteful number, since it uses less digits than its factorization.

1109342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1109342880 is about 33306.7993058474. The cubic root of 1109342880 is about 1035.1944464186.

The spelling of 1109342880 in words is "one billion, one hundred nine million, three hundred forty-two thousand, eight hundred eighty".