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5235840 = 27345101
BaseRepresentation
bin10011111110010010000000
3100212000020000
4103332102000
52320021330
6304120000
762334561
oct23762200
910760200
105235840
112a56845
121906000
13111423c
149a4168
156d6560
hex4fe480

5235840 has 160 divisors (see below), whose sum is σ = 18883260. Its totient is φ = 1382400.

The previous prime is 5235827. The next prime is 5235851. The reversal of 5235840 is 485325.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 254016 = 2232^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51790 + ... + 51890.

Almost surely, 25235840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9441630).

5235840 is an abundant number, since it is smaller than the sum of its proper divisors (13647420).

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

5235840 is a wasteful number, since it uses less digits than its factorization.

5235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5235840 is about 2288.1957958182. The cubic root of 5235840 is about 173.6449358782.

The spelling of 5235840 in words is "five million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 101 108 120 128 135 144 160 162 180 192 202 216 240 270 288 303 320 324 360 384 404 405 432 480 505 540 576 606 640 648 720 808 810 864 909 960 1010 1080 1152 1212 1296 1440 1515 1616 1620 1728 1818 1920 2020 2160 2424 2592 2727 2880 3030 3232 3240 3456 3636 4040 4320 4545 4848 5184 5454 5760 6060 6464 6480 7272 8080 8181 8640 9090 9696 10368 10908 12120 12928 12960 13635 14544 16160 16362 17280 18180 19392 21816 24240 25920 27270 29088 32320 32724 36360 38784 40905 43632 48480 51840 54540 58176 64640 65448 72720 81810 87264 96960 109080 116352 130896 145440 163620 174528 193920 218160 261792 290880 327240 349056 436320 523584 581760 654480 872640 1047168 1308960 1745280 2617920 5235840