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8968540 = 225729472
BaseRepresentation
bin100010001101…
…100101011100
3121212122112011
4202031211130
54243443130
6520121004
7136142230
oct42154534
917778464
108968540
115076219
123006164
131b20239
1412965c0
15bc252a
hex88d95c

8968540 has 72 divisors (see below), whose sum is σ = 22750560. Its totient is φ = 2905728.

The previous prime is 8968499. The next prime is 8968567. The reversal of 8968540 is 458698.

It is a junction number, because it is equal to n+sod(n) for n = 8968493 and 8968502.

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 23 ways as a sum of consecutive naturals, for example, 190797 + ... + 190843.

It is an arithmetic number, because the mean of its divisors is an integer number (315980).

Almost surely, 28968540 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 8968540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375280).

8968540 is an abundant number, since it is smaller than the sum of its proper divisors (13782020).

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

8968540 is a wasteful number, since it uses less digits than its factorization.

8968540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 8968540 is about 2994.7520765499. The cubic root of 8968540 is about 207.7657310661.

The spelling of 8968540 in words is "eight million, nine hundred sixty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 47 58 70 94 116 140 145 188 203 235 290 329 406 470 580 658 812 940 1015 1316 1363 1645 2030 2209 2726 3290 4060 4418 5452 6580 6815 8836 9541 11045 13630 15463 19082 22090 27260 30926 38164 44180 47705 61852 64061 77315 95410 128122 154630 190820 256244 309260 320305 448427 640610 896854 1281220 1793708 2242135 4484270 8968540