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68616720 = 2434510589
BaseRepresentation
bin1000001011100…
…00001000010000
311210010002110000
410011300020100
5120031213340
610450410000
71462142514
oct405601020
9153102400
1068616720
1135806837
121ab90900
13112a6013
149182144
156055d30
hex4170210

68616720 has 100 divisors (see below), whose sum is σ = 238338540. Its totient is φ = 18296064.

The previous prime is 68616719. The next prime is 68616721. The reversal of 68616720 is 2761686.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68616719) and next prime (68616721).

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 52359696 = 4032^2 + 7236^2 .

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

It is not an unprimeable number, because it can be changed into a prime (68616721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1186 + ... + 11774.

Almost surely, 268616720 is an apocalyptic number.

68616720 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 68616720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119169270).

68616720 is an abundant number, since it is smaller than the sum of its proper divisors (169721820).

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

68616720 is a wasteful number, since it uses less digits than its factorization.

68616720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10599 counting only the distinct ones).

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

The square root of 68616720 is about 8283.5209904967. The cubic root of 68616720 is about 409.3957388635.

The spelling of 68616720 in words is "sixty-eight million, six hundred sixteen thousand, seven hundred twenty".

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 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 10589 21178 31767 42356 52945 63534 84712 95301 105890 127068 158835 169424 190602 211780 254136 285903 317670 381204 423560 476505 508272 571806 635340 762408 847120 857709 953010 1143612 1270680 1429515 1524816 1715418 1906020 2287224 2541360 2859030 3430836 3812040 4288545 4574448 5718060 6861672 7624080 8577090 11436120 13723344 17154180 22872240 34308360 68616720