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68510820 = 2235733329
BaseRepresentation
bin1000001010101…
…10010001100100
311202220201011210
410011112101210
5120014321240
610444231420
71461222000
oct405262144
9152821153
1068510820
1135744214
121ab3b570
1311269a61
149155700
156034780
hex4156464

68510820 has 96 divisors (see below), whose sum is σ = 223776000. Its totient is φ = 15654912.

The previous prime is 68510777. The next prime is 68510831. The reversal of 68510820 is 2801586.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18916 + ... + 22244.

It is an arithmetic number, because the mean of its divisors is an integer number (2331000).

Almost surely, 268510820 is an apocalyptic number.

68510820 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 68510820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888000).

68510820 is an abundant number, since it is smaller than the sum of its proper divisors (155265180).

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

68510820 is a wasteful number, since it uses less digits than its factorization.

68510820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 68510820 is about 8277.1263129180. The cubic root of 68510820 is about 409.1850160156.

The spelling of 68510820 in words is "sixty-eight million, five hundred ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3329 3430 4116 5145 6658 6860 9987 10290 13316 16645 19974 20580 23303 33290 39948 46606 49935 66580 69909 93212 99870 116515 139818 163121 199740 233030 279636 326242 349545 466060 489363 652484 699090 815605 978726 1141847 1398180 1631210 1957452 2283694 2446815 3262420 3425541 4567388 4893630 5709235 6851082 9787260 11418470 13702164 17127705 22836940 34255410 68510820