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10006636240 = 245439284927
BaseRepresentation
bin10010101000111000…
…10010011011010000
3221211101020210100001
421110130102123100
5130443144324430
64332540535344
7502655001406
oct112434223320
927741223301
1010006636240
114275537a07
121b33251554
13c361a1c43
146acdad476
153d876e3ca
hex2547126d0

10006636240 has 40 divisors (see below), whose sum is σ = 23318507520. Its totient is φ = 3993522816.

The previous prime is 10006636207. The next prime is 10006636249. The reversal of 10006636240 is 4263660001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10006636199 and 10006636208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006636249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107344 + ... + 177583.

It is an arithmetic number, because the mean of its divisors is an integer number (582962688).

Almost surely, 210006636240 is an apocalyptic number.

10006636240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006636240 is an abundant number, since it is smaller than the sum of its proper divisors (13311871280).

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

10006636240 is a wasteful number, since it uses less digits than its factorization.

10006636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285379 (or 285373 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 10006636240 in words is "ten billion, six million, six hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 439 878 1756 2195 3512 4390 7024 8780 17560 35120 284927 569854 1139708 1424635 2279416 2849270 4558832 5698540 11397080 22794160 125082953 250165906 500331812 625414765 1000663624 1250829530 2001327248 2501659060 5003318120 10006636240