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4235840 = 26573161
BaseRepresentation
bin10000001010001001000000
321222012110222
4100022021000
52041021330
6230442212
751001250
oct20121100
97865428
104235840
1124334a4
121503368
13b5401b
147c3960
1558a0e5
hex40a240

4235840 has 112 divisors (see below), whose sum is σ = 12094464. Its totient is φ = 1382400.

The previous prime is 4235837. The next prime is 4235851. The reversal of 4235840 is 485324.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69410 + ... + 69470.

Almost surely, 24235840 is an apocalyptic number.

4235840 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 4235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047232).

4235840 is an abundant number, since it is smaller than the sum of its proper divisors (7858624).

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

4235840 is a wasteful number, since it uses less digits than its factorization.

4235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4235840 is about 2058.1156430094. The cubic root of 4235840 is about 161.8004961677.

The spelling of 4235840 in words is "four million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 61 62 64 70 80 112 122 124 140 155 160 217 224 244 248 280 305 310 320 427 434 448 488 496 560 610 620 854 868 976 992 1085 1120 1220 1240 1708 1736 1891 1952 1984 2135 2170 2240 2440 2480 3416 3472 3782 3904 4270 4340 4880 4960 6832 6944 7564 8540 8680 9455 9760 9920 13237 13664 13888 15128 17080 17360 18910 19520 26474 27328 30256 34160 34720 37820 52948 60512 66185 68320 69440 75640 105896 121024 132370 136640 151280 211792 264740 302560 423584 529480 605120 847168 1058960 2117920 4235840