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11830140 = 22325741229
BaseRepresentation
bin101101001000…
…001101111100
3211021000220100
4231020031330
511012031030
61101321100
7202361130
oct55101574
924230810
1011830140
116750183
123b66190
1325b28aa
1417dd3c0
15108a360
hexb4837c

11830140 has 144 divisors (see below), whose sum is σ = 42194880. Its totient is φ = 2626560.

The previous prime is 11830081. The next prime is 11830163. The reversal of 11830140 is 4103811.

11830140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51546 + ... + 51774.

It is an arithmetic number, because the mean of its divisors is an integer number (293020).

Almost surely, 211830140 is an apocalyptic number.

11830140 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 11830140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097440).

11830140 is an abundant number, since it is smaller than the sum of its proper divisors (30364740).

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

11830140 is a wasteful number, since it uses less digits than its factorization.

11830140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11830140 is about 3439.4970562569. The cubic root of 11830140 is about 227.8574824947.

Adding to 11830140 its reverse (4103811), we get a palindrome (15933951).

It can be divided in two parts, 118301 and 40, that added together give a triangular number (118341 = T486).

The spelling of 11830140 in words is "eleven million, eight hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 229 246 252 287 315 369 410 420 458 492 574 615 630 687 738 820 861 916 1145 1148 1230 1260 1374 1435 1476 1603 1722 1845 2061 2290 2460 2583 2748 2870 3206 3435 3444 3690 4122 4305 4580 4809 5166 5740 6412 6870 7380 8015 8244 8610 9389 9618 10305 10332 12915 13740 14427 16030 17220 18778 19236 20610 24045 25830 28167 28854 32060 37556 41220 46945 48090 51660 56334 57708 65723 72135 84501 93890 96180 112668 131446 140835 144270 169002 187780 197169 262892 281670 288540 328615 338004 394338 422505 563340 591507 657230 788676 845010 985845 1183014 1314460 1690020 1971690 2366028 2957535 3943380 5915070 11830140