Search a number
-
+
1150498080 = 25355127233
BaseRepresentation
bin100010010010011…
…0011010100100000
32222011212100200000
41010210303110200
54324011414310
6310055100000
740340033544
oct10444632440
92864770600
101150498080
11540476266
12281371600
131544819c4
14acb25a24
156b00d4c0
hex44933520

1150498080 has 288 divisors, whose sum is σ = 4121155584. Its totient is φ = 303077376.

The previous prime is 1150498073. The next prime is 1150498099. The reversal of 1150498080 is 808940511.

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 a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4937644 + ... + 4937876.

It is an arithmetic number, because the mean of its divisors is an integer number (14309568).

Almost surely, 21150498080 is an apocalyptic number.

1150498080 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 1150498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060577792).

1150498080 is an abundant number, since it is smaller than the sum of its proper divisors (2970657504).

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

1150498080 is a wasteful number, since it uses less digits than its factorization.

1150498080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1150498080 is about 33918.9929095780. The cubic root of 1150498080 is about 1047.8407873436.

The spelling of 1150498080 in words is "one billion, one hundred fifty million, four hundred ninety-eight thousand, eighty".