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663111240 = 233511691727
BaseRepresentation
bin100111100001100…
…100011001001000
31201012202112121120
4213201210121020
52324224024430
6145444435240
722301231631
oct4741443110
91635675546
10663111240
11310344320
121660a8b20
13a74c4a1c
14640d4888
153d337610
hex27864648

663111240 has 128 divisors (see below), whose sum is σ = 2176312320. Its totient is φ = 160300800.

The previous prime is 663111223. The next prime is 663111257. The reversal of 663111240 is 42111366.

It is an interprime number because it is at equal distance from previous prime (663111223) and next prime (663111257).

It is a super-2 number, since 2×6631112402 = 879433033228675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 663111240.

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, 911757 + ... + 912483.

It is an arithmetic number, because the mean of its divisors is an integer number (17002440).

Almost surely, 2663111240 is an apocalyptic number.

663111240 is a gapful number since it is divisible by the number (60) 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 663111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088156160).

663111240 is an abundant number, since it is smaller than the sum of its proper divisors (1513201080).

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

663111240 is a wasteful number, since it uses less digits than its factorization.

663111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 663111240 is about 25750.9463903756. The cubic root of 663111240 is about 872.0247201420.

It can be divided in two parts, 6631 and 11240, that added together give a palindrome (17871).

The spelling of 663111240 in words is "six hundred sixty-three million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 691 727 1320 1382 1454 2073 2181 2764 2908 3455 3635 4146 4362 5528 5816 6910 7270 7601 7997 8292 8724 10365 10905 13820 14540 15202 15994 16584 17448 20730 21810 22803 23991 27640 29080 30404 31988 38005 39985 41460 43620 45606 47982 60808 63976 76010 79970 82920 87240 91212 95964 114015 119955 152020 159940 182424 191928 228030 239910 304040 319880 456060 479820 502357 912120 959640 1004714 1507071 2009428 2511785 3014142 4018856 5023570 5525927 6028284 7535355 10047140 11051854 12056568 15070710 16577781 20094280 22103708 27629635 30141420 33155562 44207416 55259270 60282840 66311124 82888905 110518540 132622248 165777810 221037080 331555620 663111240