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766280070 = 232519835399
BaseRepresentation
bin101101101011001…
…000000110000110
31222101220001122100
4231223020012012
53032131430240
6204012012530
724663162453
oct5553100606
91871801570
10766280070
113635aa616
12194761146
13c29a797a
1473aac82a
1547415e30
hex2dac8186

766280070 has 96 divisors (see below), whose sum is σ = 2122848000. Its totient is φ = 191218752.

The previous prime is 766280069. The next prime is 766280071. The reversal of 766280070 is 70082667.

It is an interprime number because it is at equal distance from previous prime (766280069) and next prime (766280071).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766280071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139231 + ... + 144629.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2766280070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766280070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

766280070 is an abundant number, since it is smaller than the sum of its proper divisors (1356567930).

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

766280070 is a wasteful number, since it uses less digits than its factorization.

766280070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 766280070 is about 27681.7642140092. The cubic root of 766280070 is about 915.0872621247.

The spelling of 766280070 in words is "seven hundred sixty-six million, two hundred eighty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 83 90 95 114 166 171 190 249 285 342 415 498 570 747 830 855 1245 1494 1577 1710 2490 3154 3735 4731 5399 7470 7885 9462 10798 14193 15770 16197 23655 26995 28386 32394 47310 48591 53990 70965 80985 97182 102581 141930 161970 205162 242955 307743 448117 485910 512905 615486 896234 923229 1025810 1344351 1538715 1846458 2240585 2688702 3077430 4033053 4481170 4616145 6721755 8066106 8514223 9232290 13443510 17028446 20165265 25542669 40330530 42571115 51085338 76628007 85142230 127713345 153256014 255426690 383140035 766280070