Search a number
-
+
1042169760 = 253351912697
BaseRepresentation
bin111110000111100…
…011111110100000
32200122000201011000
4332013203332200
54113243413020
6251225152000
734553203542
oct7607437640
92618021130
101042169760
11495306625
1225102b600
13137bb34c8
149c5a7692
1561761090
hex3e1e3fa0

1042169760 has 192 divisors, whose sum is σ = 3839875200. Its totient is φ = 263264256.

The previous prime is 1042169743. The next prime is 1042169771. The reversal of 1042169760 is 679612401.

It is a super-2 number, since 2×10421697602 = 2172235617316915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75732 + ... + 88428.

It is an arithmetic number, because the mean of its divisors is an integer number (19999350).

Almost surely, 21042169760 is an apocalyptic number.

1042169760 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 1042169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919937600).

1042169760 is an abundant number, since it is smaller than the sum of its proper divisors (2797705440).

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

1042169760 is a wasteful number, since it uses less digits than its factorization.

1042169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740 (or 12726 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1042169760 is about 32282.6541659759. The cubic root of 1042169760 is about 1013.8635018112.

The spelling of 1042169760 in words is "one billion, forty-two million, one hundred sixty-nine thousand, seven hundred sixty".