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4290240 = 263541109
BaseRepresentation
bin10000010111011011000000
322001222002210
4100113123000
52044241430
6231542120
751315663
oct20273300
98058083
104290240
112470359
12152a940
13b72a06
147d96da
1559b2b0
hex4176c0

4290240 has 112 divisors (see below), whose sum is σ = 14081760. Its totient is φ = 1105920.

The previous prime is 4290233. The next prime is 4290269. The reversal of 4290240 is 420924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39306 + ... + 39414.

It is an arithmetic number, because the mean of its divisors is an integer number (125730).

Almost surely, 24290240 is an apocalyptic number.

4290240 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 4290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040880).

4290240 is an abundant number, since it is smaller than the sum of its proper divisors (9791520).

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

4290240 is a wasteful number, since it uses less digits than its factorization.

4290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4290240 is about 2071.2894534565. The cubic root of 4290240 is about 162.4902084830.

The spelling of 4290240 in words is "four million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 109 120 123 160 164 192 205 218 240 246 320 327 328 410 436 480 492 545 615 654 656 820 872 960 984 1090 1230 1308 1312 1635 1640 1744 1968 2180 2460 2616 2624 3270 3280 3488 3936 4360 4469 4920 5232 6540 6560 6976 7872 8720 8938 9840 10464 13080 13120 13407 17440 17876 19680 20928 22345 26160 26814 34880 35752 39360 44690 52320 53628 67035 71504 89380 104640 107256 134070 143008 178760 214512 268140 286016 357520 429024 536280 715040 858048 1072560 1430080 2145120 4290240