Search a number
-
+
1078989120 = 263351111353
BaseRepresentation
bin100000001010000…
…0001000101000000
32210012022022211000
41000110001011000
54202210122440
6255022252000
735511153606
oct10024010500
92705268730
101078989120
11504074550
12261427000
13142705401
14a342d876
1564ad5730
hex40501140

1078989120 has 224 divisors, whose sum is σ = 4152839040. Its totient is φ = 261550080.

The previous prime is 1078989089. The next prime is 1078989143. The reversal of 1078989120 is 219898701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89364 + ... + 100716.

It is an arithmetic number, because the mean of its divisors is an integer number (18539460).

Almost surely, 21078989120 is an apocalyptic number.

1078989120 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 1078989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076419520).

1078989120 is an abundant number, since it is smaller than the sum of its proper divisors (3073849920).

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

1078989120 is a wasteful number, since it uses less digits than its factorization.

1078989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11390 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1078989120 is about 32847.9698002784. The cubic root of 1078989120 is about 1025.6653605833.

The spelling of 1078989120 in words is "one billion, seventy-eight million, nine hundred eighty-nine thousand, one hundred twenty".