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68581720 = 23537149311
BaseRepresentation
bin1000001011001…
…11100101011000
311210001022102201
410011213211120
5120024103340
610445535544
71461635464
oct405474530
9153038381
1068581720
1135792509
121ab745b4
13112930cc
1491734a4
15604a79a
hex4167958

68581720 has 64 divisors (see below), whose sum is σ = 160056000. Its totient is φ = 26426880.

The previous prime is 68581691. The next prime is 68581729. The reversal of 68581720 is 2718586.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 68581720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68581729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220365 + ... + 220675.

It is an arithmetic number, because the mean of its divisors is an integer number (2500875).

Almost surely, 268581720 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 68581720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028000).

68581720 is an abundant number, since it is smaller than the sum of its proper divisors (91474280).

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

68581720 is a wasteful number, since it uses less digits than its factorization.

68581720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 68581720 is about 8281.4080928306. The cubic root of 68581720 is about 409.3261188650.

The spelling of 68581720 in words is "sixty-eight million, five hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 149 185 296 298 311 370 596 622 740 745 1192 1244 1480 1490 1555 2488 2980 3110 5513 5960 6220 11026 11507 12440 22052 23014 27565 44104 46028 46339 55130 57535 92056 92678 110260 115070 185356 220520 230140 231695 370712 460280 463390 926780 1714543 1853560 3429086 6858172 8572715 13716344 17145430 34290860 68581720