Search a number
-
+
768689790 = 2351110123063
BaseRepresentation
bin101101110100010…
…100011001111110
31222120102111011020
4231310110121332
53033241033130
6204135405010
725022520051
oct5564243176
91876374136
10768689790
113649a6020
12195523766
13c333c73b
1474138a98
154773ee10
hex2dd1467e

768689790 has 64 divisors (see below), whose sum is σ = 2032584192. Its totient is φ = 184496000.

The previous prime is 768689773. The next prime is 768689843. The reversal of 768689790 is 97986867.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21799 + ... + 44861.

It is an arithmetic number, because the mean of its divisors is an integer number (31759128).

Almost surely, 2768689790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768689790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016292096).

768689790 is an abundant number, since it is smaller than the sum of its proper divisors (1263894402).

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

768689790 is a wasteful number, since it uses less digits than its factorization.

768689790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23185.

The product of its (nonzero) digits is 9144576, while the sum is 60.

The square root of 768689790 is about 27725.2554541883. The cubic root of 768689790 is about 916.0454829853.

The spelling of 768689790 in words is "seven hundred sixty-eight million, six hundred eighty-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 23063 33330 46126 69189 115315 138378 230630 253693 345945 507386 691890 761079 1268465 1522158 2329363 2536930 3805395 4658726 6988089 7610790 11646815 13976178 23293630 25622993 34940445 51245986 69880890 76868979 128114965 153737958 256229930 384344895 768689790