Search a number
-
+
10076078740 = 225721323137251
BaseRepresentation
bin10010110001001010…
…01100001010010100
3222000012220211112111
421120211030022110
5131113434004430
64343501200404
7504460153600
oct113045141224
928005824474
1010076078740
114300758102
121b52560104
13c476a6a90
146b82c8500
153de8d9c2a
hex25894c294

10076078740 has 288 divisors, whose sum is σ = 27973257984. Its totient is φ = 3015936000.

The previous prime is 10076078723. The next prime is 10076078743. The reversal of 10076078740 is 4787067001.

It is a junction number, because it is equal to n+sod(n) for n = 10076078693 and 10076078702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076078743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40143615 + ... + 40143865.

It is an arithmetic number, because the mean of its divisors is an integer number (97129368).

Almost surely, 210076078740 is an apocalyptic number.

10076078740 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 10076078740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986628992).

10076078740 is an abundant number, since it is smaller than the sum of its proper divisors (17897179244).

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

10076078740 is a wasteful number, since it uses less digits than its factorization.

10076078740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 10076078740 in words is "ten billion, seventy-six million, seventy-eight thousand, seven hundred forty".