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10106602240 = 28571127969
BaseRepresentation
bin10010110100110011…
…01000001100000000
3222002100100120220111
421122121220030000
5131144242232430
64350511321104
7505310462440
oct113231501400
928070316814
1010106602240
114316a05939
121b60820194
13c50b03117
146bc392120
153e2418c2a
hex25a668300

10106602240 has 72 divisors (see below), whose sum is σ = 27666848160. Its totient is φ = 3465117696.

The previous prime is 10106602229. The next prime is 10106602241. The reversal of 10106602240 is 4220660101.

It is not an unprimeable number, because it can be changed into a prime (10106602241) 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, 555025 + ... + 572944.

It is an arithmetic number, because the mean of its divisors is an integer number (384261780).

Almost surely, 210106602240 is an apocalyptic number.

10106602240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106602240 is an abundant number, since it is smaller than the sum of its proper divisors (17560245920).

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

10106602240 is an equidigital number, since it uses as much as digits as its factorization.

10106602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127997 (or 1127983 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 10106602240 in words is "ten billion, one hundred six million, six hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 1127969 2255938 4511876 5639845 7895783 9023752 11279690 15791566 18047504 22559380 31583132 36095008 39478915 45118760 63166264 72190016 78957830 90237520 126332528 144380032 157915660 180475040 252665056 288760064 315831320 360950080 505330112 631662640 721900160 1010660224 1263325280 1443800320 2021320448 2526650560 5053301120 10106602240