Search a number
-
+
1061498880 = 21232513443
BaseRepresentation
bin111111010001010…
…011000000000000
32201222101201201100
4333101103000000
54133220431010
6253155334400
735206406631
oct7721230000
92658351640
101061498880
114a5208902
122575b1400
1313bbc0460
14a0d99888
15632cd2c0
hex3f453000

1061498880 has 312 divisors, whose sum is σ = 3971389968. Its totient is φ = 260702208.

The previous prime is 1061498873. The next prime is 1061498891. The reversal of 1061498880 is 888941601.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×10614988802 = 2253559744482508800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 2395939 + ... + 2396381.

It is an arithmetic number, because the mean of its divisors is an integer number (12728814).

Almost surely, 21061498880 is an apocalyptic number.

1061498880 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 1061498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985694984).

1061498880 is an abundant number, since it is smaller than the sum of its proper divisors (2909891088).

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

1061498880 is a wasteful number, since it uses less digits than its factorization.

1061498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1061498880 is about 32580.6519271791. The cubic root of 1061498880 is about 1020.0931864113.

The spelling of 1061498880 in words is "one billion, sixty-one million, four hundred ninety-eight thousand, eight hundred eighty".