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11412540 = 22325194771
BaseRepresentation
bin101011100010…
…010000111100
3210110211001200
4223202100330
510410200130
61044335500
7166001466
oct53422074
923424050
1011412540
116495457
1239a4590
1324977a9
141731136
151006760
hexae243c

11412540 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2782080.

The previous prime is 11412523. The next prime is 11412571. The reversal of 11412540 is 4521411.

11412540 is a `hidden beast` number, since 114 + 12 + 540 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160705 + ... + 160775.

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

Almost surely, 211412540 is an apocalyptic number.

11412540 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 11412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11412540 is an abundant number, since it is smaller than the sum of its proper divisors (26326980).

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

11412540 is a wasteful number, since it uses less digits than its factorization.

11412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11412540 is about 3378.2451065605. The cubic root of 11412540 is about 225.1442038554.

Adding to 11412540 its reverse (4521411), we get a palindrome (15933951).

The spelling of 11412540 in words is "eleven million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 71 76 90 94 95 114 141 142 171 180 188 190 213 228 235 282 284 285 342 355 380 423 426 470 564 570 639 684 705 710 846 852 855 893 940 1065 1140 1278 1349 1410 1420 1692 1710 1786 2115 2130 2556 2679 2698 2820 3195 3337 3420 3572 4047 4230 4260 4465 5358 5396 6390 6674 6745 8037 8094 8460 8930 10011 10716 12141 12780 13348 13395 13490 16074 16188 16685 17860 20022 20235 24282 26790 26980 30033 32148 33370 40044 40185 40470 48564 50055 53580 60066 60705 63403 66740 80370 80940 100110 120132 121410 126806 150165 160740 190209 200220 242820 253612 300330 317015 380418 570627 600660 634030 760836 951045 1141254 1268060 1902090 2282508 2853135 3804180 5706270 11412540