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766563330 = 235133974951
BaseRepresentation
bin101101101100001…
…101010000000010
31222102102110012110
4231230031100002
53032220011310
6204022040150
724665452341
oct5554152002
91872373173
10766563330
11363783415
12194879056
13c2a76890
1473b43b58
154746ed20
hex2db0d402

766563330 has 64 divisors (see below), whose sum is σ = 1986663168. Its totient is φ = 188179200.

The previous prime is 766563313. The next prime is 766563331. The reversal of 766563330 is 33365667.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (766563331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152355 + ... + 157305.

It is an arithmetic number, because the mean of its divisors is an integer number (31041612).

Almost surely, 2766563330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766563330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993331584).

766563330 is an abundant number, since it is smaller than the sum of its proper divisors (1220099838).

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

766563330 is a wasteful number, since it uses less digits than its factorization.

766563330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371.

The product of its (nonzero) digits is 204120, while the sum is 39.

The square root of 766563330 is about 27686.8801059274. The cubic root of 766563330 is about 915.2000040561.

The spelling of 766563330 in words is "seven hundred sixty-six million, five hundred sixty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 397 794 1191 1985 2382 3970 4951 5161 5955 9902 10322 11910 14853 15483 24755 25805 29706 30966 49510 51610 64363 74265 77415 128726 148530 154830 193089 321815 386178 643630 965445 1930890 1965547 3931094 5896641 9827735 11793282 19655470 25552111 29483205 51104222 58966410 76656333 127760555 153312666 255521110 383281665 766563330