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4235040 = 2532517173
BaseRepresentation
bin10000001001111100100000
321222011101100
4100021330200
52041010130
6230434400
750666025
oct20117440
97864340
104235040
112432937
121502a00
13b53854
147c354c
15589c60
hex409f20

4235040 has 144 divisors (see below), whose sum is σ = 15390648. Its totient is φ = 1056768.

The previous prime is 4235017. The next prime is 4235041. The reversal of 4235040 is 405324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 24336 = 2052^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4235041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24394 + ... + 24566.

Almost surely, 24235040 is an apocalyptic number.

4235040 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 4235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695324).

4235040 is an abundant number, since it is smaller than the sum of its proper divisors (11155608).

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

4235040 is a wasteful number, since it uses less digits than its factorization.

4235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4235040 is about 2057.9212812933. The cubic root of 4235040 is about 161.7903094006.

The spelling of 4235040 in words is "four million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 173 180 204 240 255 272 288 306 340 346 360 408 480 510 519 544 612 680 692 720 765 816 865 1020 1038 1224 1360 1384 1440 1530 1557 1632 1730 2040 2076 2448 2595 2720 2768 2941 3060 3114 3460 4080 4152 4896 5190 5536 5882 6120 6228 6920 7785 8160 8304 8823 10380 11764 12240 12456 13840 14705 15570 16608 17646 20760 23528 24480 24912 26469 27680 29410 31140 35292 41520 44115 47056 49824 52938 58820 62280 70584 83040 88230 94112 105876 117640 124560 132345 141168 176460 211752 235280 249120 264690 282336 352920 423504 470560 529380 705840 847008 1058760 1411680 2117520 4235040