Search a number
-
+
11141340 = 2235741647
BaseRepresentation
bin101010100000…
…000011011100
3202222001001020
4222200003130
510323010330
61034444140
7163462020
oct52400334
922861036
1011141340
11631a721
123893650
132401212
1416a0380
15ea1210
hexaa00dc

11141340 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 2480640.

The previous prime is 11141327. The next prime is 11141357. The reversal of 11141340 is 4314111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16897 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 211141340 is an apocalyptic number.

11141340 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 11141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

11141340 is an abundant number, since it is smaller than the sum of its proper divisors (25436964).

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

11141340 is a wasteful number, since it uses less digits than its factorization.

11141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11141340 is about 3337.8645868279. The cubic root of 11141340 is about 223.3464955981.

Adding to 11141340 its reverse (4314111), we get a palindrome (15455451).

The spelling of 11141340 in words is "eleven million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 647 820 861 1148 1230 1294 1435 1722 1941 2460 2588 2870 3235 3444 3882 4305 4529 5740 6470 7764 8610 9058 9705 12940 13587 17220 18116 19410 22645 26527 27174 38820 45290 53054 54348 67935 79581 90580 106108 132635 135870 159162 185689 265270 271740 318324 371378 397905 530540 557067 742756 795810 928445 1114134 1591620 1856890 2228268 2785335 3713780 5570670 11141340