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1131040240 = 245112331353
BaseRepresentation
bin100001101101010…
…0100110111110000
32220211020210112021
41003122210313300
54304021241430
6304122041224
740012453261
oct10332446760
92824223467
101131040240
11530496300
12276949214
1315042b2a5
14aa2dc968
156946807a
hex436a4df0

1131040240 has 120 divisors (see below), whose sum is σ = 2907407664. Its totient is φ = 408883200.

The previous prime is 1131040201. The next prime is 1131040259. The reversal of 1131040240 is 420401311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3203904 + ... + 3204256.

Almost surely, 21131040240 is an apocalyptic number.

1131040240 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 1131040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453703832).

1131040240 is an abundant number, since it is smaller than the sum of its proper divisors (1776367424).

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

1131040240 is a wasteful number, since it uses less digits than its factorization.

1131040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1131040240 is about 33630.9417055187. The cubic root of 1131040240 is about 1041.8999539225.

Adding to 1131040240 its reverse (420401311), we get a palindrome (1551441551).

The spelling of 1131040240 in words is "one billion, one hundred thirty-one million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 331 353 440 484 605 662 706 880 968 1210 1324 1412 1655 1765 1936 2420 2648 2824 3310 3530 3641 3883 4840 5296 5648 6620 7060 7282 7766 9680 13240 14120 14564 15532 18205 19415 26480 28240 29128 31064 36410 38830 40051 42713 58256 62128 72820 77660 80102 85426 116843 145640 155320 160204 170852 200255 213565 233686 291280 310640 320408 341704 400510 427130 467372 584215 640816 683408 801020 854260 934744 1168430 1285273 1602040 1708520 1869488 2336860 2570546 3204080 3417040 4673720 5141092 6426365 9347440 10282184 12852730 14138003 20564368 25705460 28276006 51410920 56552012 70690015 102821840 113104024 141380030 226208048 282760060 565520120 1131040240