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8540740 = 22513107307
BaseRepresentation
bin100000100101…
…001001000100
3121001220200201
4200211021010
54141300430
6503020244
7132411055
oct40451104
917056621
108540740
11490386a
122a3a684
131a005c0
1411c472c
15b3a8ca
hex825244

8540740 has 48 divisors (see below), whose sum is σ = 19559232. Its totient is φ = 3113856.

The previous prime is 8540737. The next prime is 8540743. The reversal of 8540740 is 470458.

8540740 = 3302 + 3312 + ... + 3942.

It is an interprime number because it is at equal distance from previous prime (8540737) and next prime (8540743).

It is a junction number, because it is equal to n+sod(n) for n = 8540699 and 8540708.

It is not an unprimeable number, because it can be changed into a prime (8540743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27667 + ... + 27973.

It is an arithmetic number, because the mean of its divisors is an integer number (407484).

Almost surely, 28540740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8540740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779616).

8540740 is an abundant number, since it is smaller than the sum of its proper divisors (11018492).

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

8540740 is a wasteful number, since it uses less digits than its factorization.

8540740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 8540740 is about 2922.4544478914. The cubic root of 8540740 is about 204.4082877756.

The spelling of 8540740 in words is "eight million, five hundred forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 307 428 535 614 1070 1228 1391 1535 2140 2782 3070 3991 5564 6140 6955 7982 13910 15964 19955 27820 32849 39910 65698 79820 131396 164245 328490 427037 656980 854074 1708148 2135185 4270370 8540740