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15105140 = 225755257
BaseRepresentation
bin111001100111…
…110001110100
31001102102100122
4321213301310
512331331030
61255431112
7242251211
oct71476164
931372318
1015105140
118587796
125085498
13318b46b
142012b08
1514d58e5
hexe67c74

15105140 has 12 divisors (see below), whose sum is σ = 31720836. Its totient is φ = 6042048.

The previous prime is 15105119. The next prime is 15105187. The reversal of 15105140 is 4150151.

It can be written as a sum of positive squares in 2 ways, for example, as 7107556 + 7997584 = 2666^2 + 2828^2 .

It is a super-3 number, since 3×151051403 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377609 + ... + 377648.

It is an arithmetic number, because the mean of its divisors is an integer number (2643403).

Almost surely, 215105140 is an apocalyptic number.

15105140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15105140 is an abundant number, since it is smaller than the sum of its proper divisors (16615696).

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

15105140 is a wasteful number, since it uses less digits than its factorization.

15105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755266 (or 755264 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 15105140 is about 3886.5331595138. The cubic root of 15105140 is about 247.1960831028.

Adding to 15105140 its reverse (4150151), we get a palindrome (19255291).

The spelling of 15105140 in words is "fifteen million, one hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 755257 1510514 3021028 3776285 7552570 15105140