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11344140 = 223251931107
BaseRepresentation
bin101011010001…
…100100001100
3210100100020100
4223101210030
510401003030
61043051100
7165265203
oct53214414
923310210
1011344140
116449025
123970a90
132472612
14171423a
15ee1360
hexad190c

11344140 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2747520.

The previous prime is 11344103. The next prime is 11344141. The reversal of 11344140 is 4144311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344141) 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, 105967 + ... + 106073.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 211344140 is an apocalyptic number.

11344140 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 11344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11344140 is an abundant number, since it is smaller than the sum of its proper divisors (26395380).

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

11344140 is a wasteful number, since it uses less digits than its factorization.

11344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11344140 is about 3368.1062928595. The cubic root of 11344140 is about 224.6935086179.

Adding to 11344140 its reverse (4144311), we get a palindrome (15488451).

It can be divided in two parts, 113 and 44140, that added together give a triangular number (44253 = T297).

The spelling of 11344140 in words is "eleven million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 107 114 124 155 171 180 186 190 214 228 279 285 310 321 342 372 380 428 465 535 558 570 589 620 642 684 855 930 963 1070 1116 1140 1178 1284 1395 1605 1710 1767 1860 1926 2033 2140 2356 2790 2945 3210 3317 3420 3534 3852 4066 4815 5301 5580 5890 6099 6420 6634 7068 8132 8835 9630 9951 10165 10602 11780 12198 13268 16585 17670 18297 19260 19902 20330 21204 24396 26505 29853 30495 33170 35340 36594 39804 40660 49755 53010 59706 60990 63023 66340 73188 91485 99510 106020 119412 121980 126046 149265 182970 189069 199020 252092 298530 315115 365940 378138 567207 597060 630230 756276 945345 1134414 1260460 1890690 2268828 2836035 3781380 5672070 11344140