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8242740 = 223251123181
BaseRepresentation
bin11111011100011000110100
3120111202220200
4133130120310
54102231430
6452400500
7130030212
oct37343064
916452820
108242740
11471a990
122916130
131927a7c
141147cb2
15acc460
hex7dc634

8242740 has 144 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 1900800.

The previous prime is 8242733. The next prime is 8242777. The reversal of 8242740 is 472428.

8242740 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45450 + ... + 45630.

It is an arithmetic number, because the mean of its divisors is an integer number (198744).

Almost surely, 28242740 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 8242740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309568).

8242740 is an abundant number, since it is smaller than the sum of its proper divisors (20376396).

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

8242740 is a wasteful number, since it uses less digits than its factorization.

8242740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8242740 is about 2871.0172413275. The cubic root of 8242740 is about 202.0027121160.

The spelling of 8242740 in words is "eight million, two hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 181 198 207 220 230 253 276 330 345 362 396 414 460 495 506 543 660 690 724 759 828 905 990 1012 1035 1086 1265 1380 1518 1629 1810 1980 1991 2070 2172 2277 2530 2715 3036 3258 3620 3795 3982 4140 4163 4554 5060 5430 5973 6516 7590 7964 8145 8326 9108 9955 10860 11385 11946 12489 15180 16290 16652 17919 19910 20815 22770 23892 24978 29865 32580 35838 37467 39820 41630 45540 45793 49956 59730 62445 71676 74934 83260 89595 91586 119460 124890 137379 149868 179190 183172 187335 228965 249780 274758 358380 374670 412137 457930 549516 686895 749340 824274 915860 1373790 1648548 2060685 2747580 4121370 8242740