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68587520 = 212517197
BaseRepresentation
bin1000001011010…
…01000000000000
311210001121101112
410011221000000
5120024300040
610450022452
71461661421
oct405510000
9153047345
1068587520
1135796901
121ab77a28
1311295941
149175648
15604c365
hex4169000

68587520 has 104 divisors (see below), whose sum is σ = 175156344. Its totient is φ = 25690112.

The previous prime is 68587513. The next prime is 68587553. The reversal of 68587520 is 2578586.

It can be written as a sum of positive squares in 4 ways, for example, as 34668544 + 33918976 = 5888^2 + 5824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348062 + ... + 348258.

Almost surely, 268587520 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 68587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87578172).

68587520 is an abundant number, since it is smaller than the sum of its proper divisors (106568824).

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

68587520 is a wasteful number, since it uses less digits than its factorization.

68587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 68587520 is about 8281.7582674212. The cubic root of 68587520 is about 409.3376575304.

The spelling of 68587520 in words is "sixty-eight million, five hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 197 256 272 320 340 394 512 544 640 680 788 985 1024 1088 1280 1360 1576 1970 2048 2176 2560 2720 3152 3349 3940 4096 4352 5120 5440 6304 6698 7880 8704 10240 10880 12608 13396 15760 16745 17408 20480 21760 25216 26792 31520 33490 34816 43520 50432 53584 63040 66980 69632 87040 100864 107168 126080 133960 174080 201728 214336 252160 267920 348160 403456 428672 504320 535840 806912 857344 1008640 1071680 1714688 2017280 2143360 3429376 4034560 4286720 6858752 8573440 13717504 17146880 34293760 68587520