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68024100 = 223521971151
BaseRepresentation
bin1000000110111…
…11011100100100
311201222222112010
410003133130210
5114403232400
610425554220
71454123664
oct403373444
9151888463
1068024100
1135441571
121a945970
1311129361
14906a1a4
155e8a450
hex40df724

68024100 has 72 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 18032000.

The previous prime is 68024051. The next prime is 68024147. The reversal of 68024100 is 142086.

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 23 ways as a sum of consecutive naturals, for example, 58525 + ... + 59675.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 268024100 is an apocalyptic number.

68024100 is a gapful number since it is divisible by the number (60) 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 68024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

68024100 is an abundant number, since it is smaller than the sum of its proper divisors (129963228).

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

68024100 is a wasteful number, since it uses less digits than its factorization.

68024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 68024100 is about 8247.6723989257. The cubic root of 68024100 is about 408.2137240493.

Adding to 68024100 its reverse (142086), we get a palindrome (68166186).

The spelling of 68024100 in words is "sixty-eight million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1151 1182 1970 2302 2364 2955 3453 3940 4604 4925 5755 5910 6906 9850 11510 11820 13812 14775 17265 19700 23020 28775 29550 34530 57550 59100 69060 86325 115100 172650 226747 345300 453494 680241 906988 1133735 1360482 2267470 2720964 3401205 4534940 5668675 6802410 11337350 13604820 17006025 22674700 34012050 68024100