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68557104 = 2435711229
BaseRepresentation
bin1000001011000…
…01100100110000
311210000001200000
410011201210300
5120022311404
610445230000
71461503640
oct405414460
9153001600
1068557104
1135775a70
121ab62300
1311284b45
149168520
156043339
hex4161930

68557104 has 240 divisors, whose sum is σ = 249150720. Its totient is φ = 17729280.

The previous prime is 68557081. The next prime is 68557127. The reversal of 68557104 is 40175586.

68557104 is a `hidden beast` number, since 6 + 85 + 571 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (68557081) and next prime (68557127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299262 + ... + 299490.

It is an arithmetic number, because the mean of its divisors is an integer number (1038128).

Almost surely, 268557104 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 68557104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124575360).

68557104 is an abundant number, since it is smaller than the sum of its proper divisors (180593616).

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

68557104 is a wasteful number, since it uses less digits than its factorization.

68557104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 68557104 is about 8279.9217387606. The cubic root of 68557104 is about 409.2771399364.

The spelling of 68557104 in words is "sixty-eight million, five hundred fifty-seven thousand, one hundred four".