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10227840 = 27357761
BaseRepresentation
bin100111000001…
…000010000000
3201020121221220
4213001002000
510104242330
61003115040
7152635530
oct47010200
921217856
1010227840
115856367
123512a80
13217149c
1415034c0
15d70710
hex9c1080

10227840 has 128 divisors (see below), whose sum is σ = 37307520. Its totient is φ = 2334720.

The previous prime is 10227839. The next prime is 10227853. The reversal of 10227840 is 4872201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102278402 = 209217422131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10227840.

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, 13060 + ... + 13820.

It is an arithmetic number, because the mean of its divisors is an integer number (291465).

Almost surely, 210227840 is an apocalyptic number.

10227840 is a gapful number since it is divisible by the number (10) 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 10227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653760).

10227840 is an abundant number, since it is smaller than the sum of its proper divisors (27079680).

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

10227840 is an equidigital number, since it uses as much as digits as its factorization.

10227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10227840 is about 3198.0994356023. The cubic root of 10227840 is about 217.0674187228.

The spelling of 10227840 in words is "ten million, two hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 761 840 896 960 1120 1344 1522 1680 1920 2240 2283 2688 3044 3360 3805 4480 4566 5327 6088 6720 7610 9132 10654 11415 12176 13440 15220 15981 18264 21308 22830 24352 26635 30440 31962 36528 42616 45660 48704 53270 60880 63924 73056 79905 85232 91320 97408 106540 121760 127848 146112 159810 170464 182640 213080 243520 255696 292224 319620 340928 365280 426160 487040 511392 639240 681856 730560 852320 1022784 1278480 1461120 1704640 2045568 2556960 3409280 5113920 10227840