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10036435240 = 2351319300837
BaseRepresentation
bin10010101100011011…
…11101100100101000
3221220110022201212201
421112031331210220
5131023311411430
64335523345544
7503466202066
oct112615754450
927813281781
1010036435240
114290340387
121b412222b4
13c3c4065a0
146b2d29036
153db1a88ca
hex25637d928

10036435240 has 32 divisors (see below), whose sum is σ = 24319055880. Its totient is φ = 3705760512.

The previous prime is 10036435237. The next prime is 10036435271. The reversal of 10036435240 is 4253463001.

10036435240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7453559556 + 2582875684 = 86334^2 + 50822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10036435199 and 10036435208.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9649899 + ... + 9650938.

Almost surely, 210036435240 is an apocalyptic number.

10036435240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10036435240 is an abundant number, since it is smaller than the sum of its proper divisors (14282620640).

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

10036435240 is a wasteful number, since it uses less digits than its factorization.

10036435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19300861 (or 19300857 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 10036435240 its reverse (4253463001), we get a palindrome (14289898241).

The spelling of 10036435240 in words is "ten billion, thirty-six million, four hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 19300837 38601674 77203348 96504185 154406696 193008370 250910881 386016740 501821762 772033480 1003643524 1254554405 2007287048 2509108810 5018217620 10036435240