Search a number
-
+
68783020 = 225171012003
BaseRepresentation
bin1000001100110…
…00101110101100
311210102112120021
410012120232230
5120102024040
610454131524
71463434405
oct406305654
9153375507
1068783020
113590a779
121b050ba4
1311333917
1491c69ac
15608a24a
hex4198bac

68783020 has 48 divisors (see below), whose sum is σ = 154532448. Its totient is φ = 25625600.

The previous prime is 68782981. The next prime is 68783053. The reversal of 68783020 is 2038786.

It is a happy number.

It is a super-2 number, since 2×687830202 = 9462207680640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33339 + ... + 35341.

It is an arithmetic number, because the mean of its divisors is an integer number (3219426).

Almost surely, 268783020 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 68783020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77266224).

68783020 is an abundant number, since it is smaller than the sum of its proper divisors (85749428).

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

68783020 is a wasteful number, since it uses less digits than its factorization.

68783020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 68783020 is about 8293.5529177790. The cubic root of 68783020 is about 409.7262102294.

The spelling of 68783020 in words is "sixty-eight million, seven hundred eighty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2003 2020 3434 4006 6868 8012 8585 10015 17170 20030 34051 34340 40060 68102 136204 170255 202303 340510 404606 681020 809212 1011515 2023030 3439151 4046060 6878302 13756604 17195755 34391510 68783020