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68879104 = 287217219
BaseRepresentation
bin1000001101100…
…00001100000000
311210121102100221
410012300030000
5120113112404
610500152424
71464314500
oct406601400
9153542327
1068879104
1135975988
121b098714
1311368588
14920da00
1560a8954
hex41b0300

68879104 has 162 divisors, whose sum is σ = 178839780. Its totient is φ = 26320896.

The previous prime is 68879099. The next prime is 68879113. The reversal of 68879104 is 40197886.

It is a super-3 number, since 3×688791043 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3625207 + ... + 3625225.

Almost surely, 268879104 is an apocalyptic number.

68879104 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 68879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89419890).

68879104 is an abundant number, since it is smaller than the sum of its proper divisors (109960676).

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

68879104 is a wasteful number, since it uses less digits than its factorization.

68879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 68879104 is about 8299.3435885014. The cubic root of 68879104 is about 409.9169056273.

The spelling of 68879104 in words is "sixty-eight million, eight hundred seventy-nine thousand, one hundred four".