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10868130 = 23257131327
BaseRepresentation
bin101001011101…
…010110100010
3202110011021100
4221131112202
510240240010
61024535230
7161243340
oct51352642
922404240
1010868130
116153429
123781516
132336a60
14162c990
15e4a2c0
hexa5d5a2

10868130 has 96 divisors (see below), whose sum is σ = 34804224. Its totient is φ = 2291328.

The previous prime is 10868129. The next prime is 10868131. The reversal of 10868130 is 3186801.

10868130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10868129) and next prime (10868131).

It is a junction number, because it is equal to n+sod(n) for n = 10868094 and 10868103.

It is not an unprimeable number, because it can be changed into a prime (10868131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7527 + ... + 8853.

It is an arithmetic number, because the mean of its divisors is an integer number (362544).

Almost surely, 210868130 is an apocalyptic number.

10868130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10868130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402112).

10868130 is an abundant number, since it is smaller than the sum of its proper divisors (23936094).

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

10868130 is a wasteful number, since it uses less digits than its factorization.

10868130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10868130 is about 3296.6846982992. The cubic root of 10868130 is about 221.5057179282.

It can be divided in two parts, 1086 and 8130, that added together give a square (9216 = 962).

The spelling of 10868130 in words is "ten million, eight hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1327 1365 1638 2654 2730 3981 4095 6635 7962 8190 9289 11943 13270 17251 18578 19905 23886 27867 34502 39810 46445 51753 55734 59715 83601 86255 92890 103506 119430 120757 139335 155259 167202 172510 241514 258765 278670 310518 362271 418005 517530 603785 724542 776295 836010 1086813 1207570 1552590 1811355 2173626 3622710 5434065 10868130