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10041460020 = 2232555785889
BaseRepresentation
bin10010101101000010…
…01000010100110100
3221220210210000120200
421112201020110310
5131031103210040
64340223200500
7503560000434
oct112641102464
927823700520
1010041460020
114293162599
121b42a46130
13c40475727
146b38762c4
153db84c630
hex256848534

10041460020 has 36 divisors (see below), whose sum is σ = 30459095940. Its totient is φ = 2677722624.

The previous prime is 10041459997. The next prime is 10041460027. The reversal of 10041460020 is 2006414001.

10041460020 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 4 + 600 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2930923044 + 7110536976 = 54138^2 + 84324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10041459975 and 10041460002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041460027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27892765 + ... + 27893124.

Almost surely, 210041460020 is an apocalyptic number.

10041460020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041460020 is an abundant number, since it is smaller than the sum of its proper divisors (20417635920).

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

10041460020 is a wasteful number, since it uses less digits than its factorization.

10041460020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55785904 (or 55785899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10041460020 its reverse (2006414001), we get a palindrome (12047874021).

The spelling of 10041460020 in words is "ten billion, forty-one million, four hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 55785889 111571778 167357667 223143556 278929445 334715334 502073001 557858890 669430668 836788335 1004146002 1115717780 1673576670 2008292004 2510365005 3347153340 5020730010 10041460020