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68623104 = 283118123
BaseRepresentation
bin1000001011100…
…01101100000000
311210010102012110
410011301230000
5120031414404
610450455320
71462200234
oct405615400
9153112173
1068623104
1135810610
121ab94540
13112a8bb4
1491845c4
156057b89
hex4171b00

68623104 has 72 divisors (see below), whose sum is σ = 199265472. Its totient is φ = 20792320.

The previous prime is 68623103. The next prime is 68623127. The reversal of 68623104 is 40132686.

It is not an unprimeable number, because it can be changed into a prime (68623103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4387 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (2767576).

Almost surely, 268623104 is an apocalyptic number.

68623104 is a gapful number since it is divisible by the number (64) 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 68623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99632736).

68623104 is an abundant number, since it is smaller than the sum of its proper divisors (130642368).

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

68623104 is a wasteful number, since it uses less digits than its factorization.

68623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68623104 is about 8283.9063249170. The cubic root of 68623104 is about 409.4084349981.

The spelling of 68623104 in words is "sixty-eight million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8123 8448 16246 24369 32492 48738 64984 89353 97476 129968 178706 194952 259936 268059 357412 389904 519872 536118 714824 779808 1039744 1072236 1429648 1559616 2079488 2144472 2859296 3119232 4288944 5718592 6238464 8577888 11437184 17155776 22874368 34311552 68623104