Search a number
-
+
765745640 = 2351110117231
BaseRepresentation
bin101101101001000…
…101100111101000
31222100212220112122
4231221011213220
53032012330030
6203552330412
724655505402
oct5551054750
91870786478
10765745640
11363275040
12194543a08
13c284b63a
14739adb72
154735c8e5
hex2da459e8

765745640 has 64 divisors (see below), whose sum is σ = 1898277120. Its totient is φ = 275680000.

The previous prime is 765745597. The next prime is 765745679. The reversal of 765745640 is 46547567.

765745640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 765745591 and 765745600.

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, 35825 + ... + 53055.

It is an arithmetic number, because the mean of its divisors is an integer number (29660580).

Almost surely, 2765745640 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 765745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949138560).

765745640 is an abundant number, since it is smaller than the sum of its proper divisors (1132531480).

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

765745640 is a wasteful number, since it uses less digits than its factorization.

765745640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17354 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The square root of 765745640 is about 27672.1094244729. The cubic root of 765745640 is about 914.8744749023.

The spelling of 765745640 in words is "seven hundred sixty-five million, seven hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 17231 22220 34462 44440 68924 86155 137848 172310 189541 344620 379082 689240 758164 947705 1516328 1740331 1895410 3480662 3790820 6961324 7581640 8701655 13922648 17403310 19143641 34806620 38287282 69613240 76574564 95718205 153149128 191436410 382872820 765745640