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766930060 = 225131928171
BaseRepresentation
bin101101101101100…
…110110010001100
31222110010002021001
4231231212302030
53032313230220
6204033550044
725001540461
oct5555466214
91873102231
10766930060
11363a039a6
12194a15324
13c2b74790
1473bdb668
15474e380a
hex2db66c8c

766930060 has 72 divisors (see below), whose sum is σ = 1830756816. Its totient is φ = 268237440.

The previous prime is 766929991. The next prime is 766930063. The reversal of 766930060 is 60039667.

It is not an unprimeable number, because it can be changed into a prime (766930063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89775 + ... + 97945.

It is an arithmetic number, because the mean of its divisors is an integer number (25427178).

Almost surely, 2766930060 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 766930060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915378408).

766930060 is an abundant number, since it is smaller than the sum of its proper divisors (1063826756).

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

766930060 is a wasteful number, since it uses less digits than its factorization.

766930060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8231 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 766930060 is about 27693.5021259501. The cubic root of 766930060 is about 915.3459271110.

The spelling of 766930060 in words is "seven hundred sixty-six million, nine hundred thirty thousand, sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 7220 8171 9386 16342 18772 23465 32684 40855 46930 81710 93860 106223 155249 163420 212446 310498 424892 531115 620996 776245 1062230 1552490 2018237 2124460 2949731 3104980 4036474 5899462 8072948 10091185 11798924 14748655 20182370 29497310 38346503 40364740 58994620 76693006 153386012 191732515 383465030 766930060