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1073666880 = 263351121379
BaseRepresentation
bin111111111111101…
…101101101000000
32202211021221002000
4333333231231000
54144324320010
6254312224000
735415006066
oct7777555500
92684257060
101073666880
11501069900
1225b69b000
13141590a60
14a2846036
15643d37c0
hex3ffedb40

1073666880 has 672 divisors, whose sum is σ = 4540300800. Its totient is φ = 237219840.

The previous prime is 1073666879. The next prime is 1073666903. The reversal of 1073666880 is 886663701.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13590681 + ... + 13590759.

It is an arithmetic number, because the mean of its divisors is an integer number (6756400).

Almost surely, 21073666880 is an apocalyptic number.

1073666880 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 1073666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270150400).

1073666880 is an abundant number, since it is smaller than the sum of its proper divisors (3466633920).

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

1073666880 is a wasteful number, since it uses less digits than its factorization.

1073666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1073666880 is about 32766.8564253576. The cubic root of 1073666880 is about 1023.9761753897.

The spelling of 1073666880 in words is "one billion, seventy-three million, six hundred sixty-six thousand, eight hundred eighty".