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10432330240 = 2954075129
BaseRepresentation
bin10011011011101000…
…01011101000000000
3222221001021021201111
421231310023220000
5132331134031430
64443105013104
7516344225653
oct115564135000
928831237644
1010432330240
114473862132
122031924194
13ca343b597
1470d74189a
15410d0ac2a
hex26dd0ba00

10432330240 has 40 divisors (see below), whose sum is σ = 25013147940. Its totient is φ = 4172931072.

The previous prime is 10432330229. The next prime is 10432330243. The reversal of 10432330240 is 4203323401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10397473024 + 34857216 = 101968^2 + 5904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10432330243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2035005 + ... + 2040124.

Almost surely, 210432330240 is an apocalyptic number.

10432330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432330240 is an abundant number, since it is smaller than the sum of its proper divisors (14580817700).

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

10432330240 is an frugal number, since it uses more digits than its factorization.

10432330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075152 (or 4075136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10432330240 its reverse (4203323401), we get a palindrome (14635653641).

The spelling of 10432330240 in words is "ten billion, four hundred thirty-two million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4075129 8150258 16300516 20375645 32601032 40751290 65202064 81502580 130404128 163005160 260808256 326010320 521616512 652020640 1043233024 1304041280 2086466048 2608082560 5216165120 10432330240