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11141256 = 2337174783
BaseRepresentation
bin101010100000…
…000010001000
3202222000221010
4222200002020
510323010011
61034443520
7163461540
oct52400210
922860833
1011141256
11631a655
1238935a0
132401179
1416a0320
15ea11a6
hexaa0088

11141256 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2896896.

The previous prime is 11141243. The next prime is 11141279. The reversal of 11141256 is 65214111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 16.

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, 134191 + ... + 134273.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 211141256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11141256 is an abundant number, since it is smaller than the sum of its proper divisors (23695224).

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

11141256 is a wasteful number, since it uses less digits than its factorization.

11141256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 11141256 is about 3337.8520039091. The cubic root of 11141256 is about 223.3459342906.

Adding to 11141256 its reverse (65214111), we get a palindrome (76355367).

The spelling of 11141256 in words is "eleven million, one hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 47 51 56 68 83 84 94 102 119 136 141 166 168 188 204 238 249 282 329 332 357 376 408 476 498 564 581 658 664 714 799 952 987 996 1128 1162 1316 1411 1428 1598 1743 1974 1992 2324 2397 2632 2822 2856 3196 3486 3901 3948 4233 4648 4794 5593 5644 6392 6972 7802 7896 8466 9588 9877 11186 11288 11703 13944 15604 16779 16932 19176 19754 22372 23406 27307 29631 31208 33558 33864 39508 44744 46812 54614 59262 66317 67116 79016 81921 93624 109228 118524 132634 134232 163842 198951 218456 237048 265268 327684 397902 464219 530536 655368 795804 928438 1392657 1591608 1856876 2785314 3713752 5570628 11141256