Search a number
-
+
68408680 = 23517293469
BaseRepresentation
bin1000001001111…
…01010101101000
311202201112001211
410010331111220
5120003034210
610442122504
71460315134
oct404752550
9152645054
1068408680
11356844aa
121aab0434
1311232412
14912a3c4
15601438a
hex413d568

68408680 has 64 divisors (see below), whose sum is σ = 168642000. Its totient is φ = 24858624.

The previous prime is 68408617. The next prime is 68408689. The reversal of 68408680 is 8680486.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19660356 + 48748324 = 4434^2 + 6982^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (68408689) 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, 17986 + ... + 21454.

Almost surely, 268408680 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 68408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84321000).

68408680 is an abundant number, since it is smaller than the sum of its proper divisors (100233320).

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

68408680 is a wasteful number, since it uses less digits than its factorization.

68408680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 68408680 is about 8270.9539957613. The cubic root of 68408680 is about 408.9815691027.

The spelling of 68408680 in words is "sixty-eight million, four hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3469 3944 4930 6938 9860 13876 17345 19720 27752 34690 58973 69380 100601 117946 138760 201202 235892 294865 402404 471784 503005 589730 804808 1006010 1179460 1710217 2012020 2358920 3420434 4024040 6840868 8551085 13681736 17102170 34204340 68408680