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8940540 = 2235723041
BaseRepresentation
bin100010000110…
…101111111100
3121211020010010
4202012233330
54242044130
6515343220
7135664500
oct42065774
917736103
108940540
115057184
122bb1b10
131b1057b
14128a300
15bb90b0
hex886bfc

8940540 has 72 divisors (see below), whose sum is σ = 29130192. Its totient is φ = 2042880.

The previous prime is 8940539. The next prime is 8940541. The reversal of 8940540 is 450498.

It is an interprime number because it is at equal distance from previous prime (8940539) and next prime (8940541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8940498 and 8940507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8940541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420 + ... + 4460.

It is an arithmetic number, because the mean of its divisors is an integer number (404586).

Almost surely, 28940540 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 8940540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565096).

8940540 is an abundant number, since it is smaller than the sum of its proper divisors (20189652).

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

8940540 is a wasteful number, since it uses less digits than its factorization.

8940540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8940540 is about 2990.0735776900. The cubic root of 8940540 is about 207.5492891088.

The spelling of 8940540 in words is "eight million, nine hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3041 6082 9123 12164 15205 18246 21287 30410 36492 42574 45615 60820 63861 85148 91230 106435 127722 149009 182460 212870 255444 298018 319305 425740 447027 596036 638610 745045 894054 1277220 1490090 1788108 2235135 2980180 4470270 8940540