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10053041240 = 2351147947699
BaseRepresentation
bin10010101110011010…
…10011110001011000
3221221121120102000202
421113031103301120
5131042034304430
64341315321332
7504060304064
oct112715236130
927847512022
1010053041240
114299752750
121b468b0248
13c4299bc18
146b520caa4
153dc888d45
hex257353c58

10053041240 has 64 divisors (see below), whose sum is σ = 24727680000. Its totient is φ = 3647943040.

The previous prime is 10053041237. The next prime is 10053041249. The reversal of 10053041240 is 4214035001.

10053041240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053041249) 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, 186911 + ... + 234609.

It is an arithmetic number, because the mean of its divisors is an integer number (386370000).

Almost surely, 210053041240 is an apocalyptic number.

10053041240 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 10053041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363840000).

10053041240 is an abundant number, since it is smaller than the sum of its proper divisors (14674638760).

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

10053041240 is a wasteful number, since it uses less digits than its factorization.

10053041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48200 (or 48196 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10053041240 its reverse (4214035001), we get a palindrome (14267076241).

The spelling of 10053041240 in words is "ten billion, fifty-three million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 479 958 1916 2395 3832 4790 5269 9580 10538 19160 21076 26345 42152 47699 52690 95398 105380 190796 210760 238495 381592 476990 524689 953980 1049378 1907960 2098756 2623445 4197512 5246890 10493780 20987560 22847821 45695642 91391284 114239105 182782568 228478210 251326031 456956420 502652062 913912840 1005304124 1256630155 2010608248 2513260310 5026520620 10053041240