Search a number
-
+
68017104 = 2433791993
BaseRepresentation
bin1000000110111…
…01101111010000
311201222121221000
410003131233100
5114403021404
610425502000
71454064411
oct403355720
9151877830
1068017104
1135437291
121a941900
131112610c
149067808
155e88339
hex40ddbd0

68017104 has 80 divisors (see below), whose sum is σ = 197804800. Its totient is φ = 22374144.

The previous prime is 68017097. The next prime is 68017111. The reversal of 68017104 is 40171086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68017097) and next prime (68017111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33132 + ... + 35124.

It is an arithmetic number, because the mean of its divisors is an integer number (2472560).

Almost surely, 268017104 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 68017104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98902400).

68017104 is an abundant number, since it is smaller than the sum of its proper divisors (129787696).

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

68017104 is a wasteful number, since it uses less digits than its factorization.

68017104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 68017104 is about 8247.2482683620. The cubic root of 68017104 is about 408.1997291998.

68017104 divided by its sum of digits (27) gives a palindrome (2519152).

It can be divided in two parts, 68017 and 104, that added together give a square (68121 = 2612).

The spelling of 68017104 in words is "sixty-eight million, seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 1993 2133 2844 3792 3986 4266 5688 5979 7972 8532 11376 11958 15944 17064 17937 23916 31888 34128 35874 47832 53811 71748 95664 107622 143496 157447 215244 286992 314894 430488 472341 629788 860976 944682 1259576 1417023 1889364 2519152 2834046 3778728 4251069 5668092 7557456 8502138 11336184 17004276 22672368 34008552 68017104