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1107443376 = 2432131722389
BaseRepresentation
bin100001000000010…
…0011111010110000
32212011211221201100
41002000203322300
54232001142001
6301520204400
736305053614
oct10200437260
92764757640
101107443376
11519139666
1226aa69700
13148588950
14a7119344
1567356586
hex42023eb0

1107443376 has 360 divisors, whose sum is σ = 3741323040. Its totient is φ = 303316992.

The previous prime is 1107443369. The next prime is 1107443377. The reversal of 1107443376 is 6733447011.

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 1107443376.

It is not an unprimeable number, because it can be changed into a prime (1107443377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12443140 + ... + 12443228.

It is an arithmetic number, because the mean of its divisors is an integer number (10392564).

Almost surely, 21107443376 is an apocalyptic number.

1107443376 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 1107443376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870661520).

1107443376 is an abundant number, since it is smaller than the sum of its proper divisors (2633879664).

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

1107443376 is a wasteful number, since it uses less digits than its factorization.

1107443376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1107443376 is about 33278.2718301296. The cubic root of 1107443376 is about 1034.6032617896.

The spelling of 1107443376 in words is "one billion, one hundred seven million, four hundred forty-three thousand, three hundred seventy-six".