Search a number
-
+
1104379920 = 24345797251
BaseRepresentation
bin100000111010011…
…1000000000010000
32211222002022110000
41001310320000100
54230210124140
6301330410000
736240034350
oct10164700020
92758068400
101104379920
11517436a86
12269a30900
13147a55457
14a695cb60
1566e4da30
hex41d38010

1104379920 has 400 divisors, whose sum is σ = 4446465408. Its totient is φ = 248832000.

The previous prime is 1104379909. The next prime is 1104379949. The reversal of 1104379920 is 299734011.

1104379920 is a `hidden beast` number, since 110 + 437 + 99 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4399795 + ... + 4400045.

Almost surely, 21104379920 is an apocalyptic number.

1104379920 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 1104379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223232704).

1104379920 is an abundant number, since it is smaller than the sum of its proper divisors (3342085488).

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

1104379920 is a wasteful number, since it uses less digits than its factorization.

1104379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1104379920 is about 33232.2120840609. The cubic root of 1104379920 is about 1033.6483932346.

The spelling of 1104379920 in words is "one billion, one hundred four million, three hundred seventy-nine thousand, nine hundred twenty".