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68661720 = 23325892143
BaseRepresentation
bin1000001011110…
…11000111011000
311210012101011200
410011323013120
5120034133340
610451354200
71462420641
oct405730730
9153171150
1068661720
1135837626
121abb2960
13112c064a
1491946c8
156064330
hex417b1d8

68661720 has 96 divisors (see below), whose sum is σ = 225763200. Its totient is φ = 18095616.

The previous prime is 68661713. The next prime is 68661727. The reversal of 68661720 is 2716686.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68661713) and next prime (68661727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68661727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30969 + ... + 33111.

It is an arithmetic number, because the mean of its divisors is an integer number (2351700).

Almost surely, 268661720 is an apocalyptic number.

68661720 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 68661720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112881600).

68661720 is an abundant number, since it is smaller than the sum of its proper divisors (157101480).

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

68661720 is a wasteful number, since it uses less digits than its factorization.

68661720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68661720 is about 8286.2367815553. The cubic root of 68661720 is about 409.4852155119.

The spelling of 68661720 in words is "sixty-eight million, six hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2143 2670 3204 3560 4005 4286 5340 6408 6429 8010 8572 10680 10715 12858 16020 17144 19287 21430 25716 32040 32145 38574 42860 51432 64290 77148 85720 96435 128580 154296 190727 192870 257160 381454 385740 572181 762908 771480 953635 1144362 1525816 1716543 1907270 2288724 2860905 3433086 3814540 4577448 5721810 6866172 7629080 8582715 11443620 13732344 17165430 22887240 34330860 68661720