Search a number
-
+
68470800 = 2435257059
BaseRepresentation
bin1000001010011…
…00100000010000
311202211200021120
410011030200100
5120012031200
610443322240
71460664216
oct405144020
9152750246
1068470800
1135717142
121ab20380
1311254788
149144cb6
1560279a0
hex414c810

68470800 has 60 divisors (see below), whose sum is σ = 219338640. Its totient is φ = 18258560.

The previous prime is 68470789. The next prime is 68470807. The reversal of 68470800 is 807486.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (68470807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27330 + ... + 29729.

It is an arithmetic number, because the mean of its divisors is an integer number (3655644).

Almost surely, 268470800 is an apocalyptic number.

68470800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68470800 is an abundant number, since it is smaller than the sum of its proper divisors (150867840).

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

68470800 is a wasteful number, since it uses less digits than its factorization.

68470800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57080 (or 57069 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 68470800 is about 8274.7084540786. The cubic root of 68470800 is about 409.1053265401.

The spelling of 68470800 in words is "sixty-eight million, four hundred seventy thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 57059 114118 171177 228236 285295 342354 456472 570590 684708 855885 912944 1141180 1369416 1426475 1711770 2282360 2738832 2852950 3423540 4279425 4564720 5705900 6847080 8558850 11411800 13694160 17117700 22823600 34235400 68470800