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10505432240 = 245187370111
BaseRepresentation
bin10011100100010110…
…00010110010110000
31000010010211020210222
421302023002302300
5133003342312430
64454235512212
7521222462222
oct116213026260
930103736728
1010505432240
114501051806
1220522b8668
13cb5624cc4
14719330412
1541744a9e5
hex2722c2cb0

10505432240 has 40 divisors (see below), whose sum is σ = 24438519168. Its totient is φ = 4199869440.

The previous prime is 10505432227. The next prime is 10505432279. The reversal of 10505432240 is 4223450501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105054322402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114785 + ... + 184895.

Almost surely, 210505432240 is an apocalyptic number.

10505432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505432240 is an abundant number, since it is smaller than the sum of its proper divisors (13933086928).

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

10505432240 is a wasteful number, since it uses less digits than its factorization.

10505432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71997 (or 71991 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 10505432240 its reverse (4223450501), we get a palindrome (14728882741).

The spelling of 10505432240 in words is "ten billion, five hundred five million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1873 3746 7492 9365 14984 18730 29968 37460 70111 74920 140222 149840 280444 350555 560888 701110 1121776 1402220 2804440 5608880 131317903 262635806 525271612 656589515 1050543224 1313179030 2101086448 2626358060 5252716120 10505432240