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4290440 = 2357211199
BaseRepresentation
bin10000010111011110001000
322001222101012
4100113132020
52044243230
6231543052
751316400
oct20273610
98058335
104290440
112470520
12152aa88
13b72b2b
147d9800
1559b395
hex417788

4290440 has 96 divisors (see below), whose sum is σ = 12312000. Its totient is φ = 1330560.

The previous prime is 4290437. The next prime is 4290449. The reversal of 4290440 is 440924.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4290449) 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, 21461 + ... + 21659.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

Almost surely, 24290440 is an apocalyptic number.

4290440 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 4290440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156000).

4290440 is an abundant number, since it is smaller than the sum of its proper divisors (8021560).

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

4290440 is a wasteful number, since it uses less digits than its factorization.

4290440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4290440 is about 2071.3377319983. The cubic root of 4290440 is about 162.4927334029.

The spelling of 4290440 in words is "four million, two hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 199 220 245 280 308 385 392 398 440 490 539 616 770 796 980 995 1078 1393 1540 1592 1960 1990 2156 2189 2695 2786 3080 3980 4312 4378 5390 5572 6965 7960 8756 9751 10780 10945 11144 13930 15323 17512 19502 21560 21890 27860 30646 39004 43780 48755 55720 61292 76615 78008 87560 97510 107261 122584 153230 195020 214522 306460 390040 429044 536305 612920 858088 1072610 2145220 4290440