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10135780 = 2253713697
BaseRepresentation
bin100110101010…
…100011100100
3201001221200021
4212222203210
510043321110
61001124524
7152103244
oct46524344
921057607
1010135780
1157a3186
123489744
13213b605
1414bbb24
15d532da
hex9aa8e4

10135780 has 24 divisors (see below), whose sum is σ = 21862008. Its totient is φ = 3944448.

The previous prime is 10135771. The next prime is 10135799. The reversal of 10135780 is 8753101.

It can be written as a sum of positive squares in 4 ways, for example, as 550564 + 9585216 = 742^2 + 3096^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6109 + ... + 7588.

It is an arithmetic number, because the mean of its divisors is an integer number (910917).

Almost surely, 210135780 is an apocalyptic number.

10135780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135780 is an abundant number, since it is smaller than the sum of its proper divisors (11726228).

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

10135780 is a wasteful number, since it uses less digits than its factorization.

10135780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13741 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 10135780 is about 3183.6739782836. The cubic root of 10135780 is about 216.4141858468.

Adding to 10135780 its reverse (8753101), we get a palindrome (18888881).

The spelling of 10135780 in words is "ten million, one hundred thirty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 13697 27394 54788 68485 136970 273940 506789 1013578 2027156 2533945 5067890 10135780