Search a number
BaseRepresentation
bin10010101000111000…
…01011001110000000
3221211101012021211201
421110130023032000
5130443142403340
64332540150544
7502654516345
oct112434131600
927741167751
1010006606720
114275517810
121b33238454
13c36191686
146acda27cc
153d876579a
hex25470b380

10006606720 has 128 divisors (see below), whose sum is σ = 26244298080. Its totient is φ = 3618201600.

The previous prime is 10006606699. The next prime is 10006606781. The reversal of 10006606720 is 2760660001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1270314 + ... + 1278166.

Almost surely, 210006606720 is an apocalyptic number.

10006606720 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 10006606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122149040).

10006606720 is an abundant number, since it is smaller than the sum of its proper divisors (16237691360).

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

10006606720 is a wasteful number, since it uses less digits than its factorization.

10006606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 10006606720 in words is "ten billion, six million, six hundred six thousand, seven hundred twenty".