Search a number
-
+
68981000 = 2353116271
BaseRepresentation
bin1000001110010…
…01000100001000
311210210121010212
410013021010020
5120124343000
610502300252
71465220534
oct407110410
9153717125
1068981000
1135a354a0
121b127688
13113a2a7a
149238bc4
1560c8c35
hex41c9108

68981000 has 64 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 25080000.

The previous prime is 68980993. The next prime is 68981009. The reversal of 68981000 is 18986.

It is a super-2 number, since 2×689810002 = 9516756722000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68981009) 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, 7865 + ... + 14135.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 268981000 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 68981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

68981000 is an abundant number, since it is smaller than the sum of its proper divisors (107136760).

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

68981000 is a wasteful number, since it uses less digits than its factorization.

68981000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 68981000 is about 8305.4801185723. The cubic root of 68981000 is about 410.1189422907.

Adding to 68981000 its reverse (18986), we get a palindrome (68999986).

The spelling of 68981000 in words is "sixty-eight million, nine hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 6271 11000 12542 25084 31355 50168 62710 68981 125420 137962 156775 250840 275924 313550 344905 551848 627100 689810 783875 1254200 1379620 1567750 1724525 2759240 3135500 3449050 6271000 6898100 8622625 13796200 17245250 34490500 68981000