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68664240 = 2433583383
BaseRepresentation
bin1000001011110…
…11101110110000
311210012111122000
410011323232300
5120034223430
610451414000
71462431201
oct405735660
9153174560
1068664240
1135839507
121abb4300
13112c1838
1491955a8
156064e60
hex417bbb0

68664240 has 160 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 18042624.

The previous prime is 68664209. The next prime is 68664251. The reversal of 68664240 is 4246686.

It is a happy number.

68664240 is a `hidden beast` number, since 6 + 8 + 6 + 642 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68664195 and 68664204.

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, 179089 + ... + 179471.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 268664240 is an apocalyptic number.

68664240 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 68664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

68664240 is an abundant number, since it is smaller than the sum of its proper divisors (171320400).

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

68664240 is a wasteful number, since it uses less digits than its factorization.

68664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 68664240 is about 8286.3888395368. The cubic root of 68664240 is about 409.4902250481.

The spelling of 68664240 in words is "sixty-eight million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 83 90 108 120 135 144 166 180 216 240 249 270 332 360 383 415 432 498 540 664 720 747 766 830 996 1080 1149 1245 1328 1494 1532 1660 1915 1992 2160 2241 2298 2490 2988 3064 3320 3447 3735 3830 3984 4482 4596 4980 5745 5976 6128 6640 6894 7470 7660 8964 9192 9960 10341 11205 11490 11952 13788 14940 15320 17235 17928 18384 19920 20682 22410 22980 27576 29880 30640 31789 34470 35856 41364 44820 45960 51705 55152 59760 63578 68940 82728 89640 91920 95367 103410 127156 137880 158945 165456 179280 190734 206820 254312 275760 286101 317890 381468 413640 476835 508624 572202 635780 762936 827280 858303 953670 1144404 1271560 1430505 1525872 1716606 1907340 2288808 2543120 2861010 3433212 3814680 4291515 4577616 5722020 6866424 7629360 8583030 11444040 13732848 17166060 22888080 34332120 68664240