Search a number
-
+
1108429920 = 25365131743
BaseRepresentation
bin100001000010001…
…0100110001100000
32212020201002000000
41002010110301200
54232224224140
6301553300000
736316333053
oct10204246140
92766632000
101108429920
11519752894
1226b264600
131488429c0
14a72d4a9a
156749da30
hex42114c60

1108429920 has 672 divisors, whose sum is σ = 4581051552. Its totient is φ = 250822656.

The previous prime is 1108429913. The next prime is 1108429921. The reversal of 1108429920 is 299248011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108429921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25777419 + ... + 25777461.

It is an arithmetic number, because the mean of its divisors is an integer number (6817041).

Almost surely, 21108429920 is an apocalyptic number.

1108429920 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 1108429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290525776).

1108429920 is an abundant number, since it is smaller than the sum of its proper divisors (3472621632).

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

1108429920 is a wasteful number, since it uses less digits than its factorization.

1108429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1108429920 is about 33293.0911751973. The cubic root of 1108429920 is about 1034.9103892171.

The spelling of 1108429920 in words is "one billion, one hundred eight million, four hundred twenty-nine thousand, nine hundred twenty".