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10330420240 = 245740574547
BaseRepresentation
bin10011001111011110…
…11011010000010000
3222122221111201111001
421213233123100100
5132124041421430
64425024431344
7513666060160
oct114757332020
928587451431
1010330420240
114421286698
122003778554
13c882a95ca
146dddb45a0
15406dca3ca
hex267bdb410

10330420240 has 80 divisors (see below), whose sum is σ = 27462206592. Its totient is φ = 3540206592.

The previous prime is 10330420231. The next prime is 10330420241. The reversal of 10330420240 is 4202403301.

10330420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10330420241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2269647 + ... + 2274193.

Almost surely, 210330420240 is an apocalyptic number.

10330420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330420240 is an abundant number, since it is smaller than the sum of its proper divisors (17131786352).

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

10330420240 is a wasteful number, since it uses less digits than its factorization.

10330420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10330420240 its reverse (4202403301), we get a palindrome (14532823541).

The spelling of 10330420240 in words is "ten billion, three hundred thirty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4057 4547 8114 9094 16228 18188 20285 22735 28399 31829 32456 36376 40570 45470 56798 63658 64912 72752 81140 90940 113596 127316 141995 159145 162280 181880 227192 254632 283990 318290 324560 363760 454384 509264 567980 636580 1135960 1273160 2271920 2546320 18447179 36894358 73788716 92235895 129130253 147577432 184471790 258260506 295154864 368943580 516521012 645651265 737887160 1033042024 1291302530 1475774320 2066084048 2582605060 5165210120 10330420240