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4265640 = 2332517241
BaseRepresentation
bin10000010001011010101000
322000201100200
4100101122220
52043000030
6231232200
751154161
oct20213250
98021320
104265640
112453925
121518660
13b64762
147d0768
15593d60
hex4116a8

4265640 has 144 divisors (see below), whose sum is σ = 15085980. Its totient is φ = 1044480.

The previous prime is 4265629. The next prime is 4265663. The reversal of 4265640 is 465624.

It is a happy number.

4265640 is a `hidden beast` number, since 4 + 2 + 656 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1887876 + 2377764 = 1374^2 + 1542^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104020 + ... + 104060.

Almost surely, 24265640 is an apocalyptic number.

4265640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542990).

4265640 is an abundant number, since it is smaller than the sum of its proper divisors (10820340).

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

4265640 is a wasteful number, since it uses less digits than its factorization.

4265640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4265640 is about 2065.3425865943. The cubic root of 4265640 is about 162.1790430174.

The spelling of 4265640 in words is "four million, two hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 41 45 51 60 68 72 82 85 90 102 120 123 136 153 164 170 180 204 205 246 255 289 306 328 340 360 369 408 410 492 510 578 612 615 680 697 738 765 820 867 984 1020 1156 1224 1230 1394 1445 1476 1530 1640 1734 1845 2040 2091 2312 2460 2601 2788 2890 2952 3060 3468 3485 3690 4182 4335 4920 5202 5576 5780 6120 6273 6936 6970 7380 8364 8670 10404 10455 11560 11849 12546 13005 13940 14760 16728 17340 20808 20910 23698 25092 26010 27880 31365 34680 35547 41820 47396 50184 52020 59245 62730 71094 83640 94792 104040 106641 118490 125460 142188 177735 213282 236980 250920 284376 355470 426564 473960 533205 710940 853128 1066410 1421880 2132820 4265640