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68201120 = 2551332789
BaseRepresentation
bin1000001000010…
…10101010100000
311202022222100102
410010022222200
5114424413440
610433441532
71455462041
oct404125240
9152288312
1068201120
1135552569
121aa102a8
131118bac0
1490b48c8
155ec2b15
hex410aaa0

68201120 has 48 divisors (see below), whose sum is σ = 173524680. Its totient is φ = 25181184.

The previous prime is 68201099. The next prime is 68201123. The reversal of 68201120 is 2110286.

It can be written as a sum of positive squares in 4 ways, for example, as 42354064 + 25847056 = 6508^2 + 5084^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 68201092 and 68201101.

It is not an unprimeable number, because it can be changed into a prime (68201123) 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, 14315 + ... + 18474.

Almost surely, 268201120 is an apocalyptic number.

It is an amenable number.

68201120 is an abundant number, since it is smaller than the sum of its proper divisors (105323560).

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

68201120 is a wasteful number, since it uses less digits than its factorization.

68201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32817 (or 32809 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 68201120 is about 8258.3969388738. The cubic root of 68201120 is about 408.5675172937.

The spelling of 68201120 in words is "sixty-eight million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 32789 65578 131156 163945 262312 327890 426257 524624 655780 852514 1049248 1311560 1705028 2131285 2623120 3410056 4262570 5246240 6820112 8525140 13640224 17050280 34100560 68201120