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82680750 = 235531361
BaseRepresentation
bin1001110110110…
…01101110101110
312202120121200000
410323121232232
5132131241000
612112045130
72022526515
oct473315656
9182517600
1082680750
11427422a9
12238337a6
131418b629
14ada367c
1573d3000
hex4ed9bae

82680750 has 96 divisors (see below), whose sum is σ = 232019424. Its totient is φ = 22032000.

The previous prime is 82680743. The next prime is 82680757. The reversal of 82680750 is 5708628.

It is an interprime number because it is at equal distance from previous prime (82680743) and next prime (82680757).

It is a super-2 number, since 2×826807502 = 13672212841125000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82680757) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 60070 + ... + 61430.

It is an arithmetic number, because the mean of its divisors is an integer number (2416869).

Almost surely, 282680750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82680750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116009712).

82680750 is an abundant number, since it is smaller than the sum of its proper divisors (149338674).

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

82680750 is a wasteful number, since it uses less digits than its factorization.

82680750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82680750 is about 9092.8955784173. The cubic root of 82680750 is about 435.6470750299.

The spelling of 82680750 in words is "eighty-two million, six hundred eighty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 750 810 1125 1215 1350 1361 2025 2250 2430 2722 3375 4050 4083 6075 6750 6805 8166 10125 12150 12249 13610 20250 20415 24498 30375 34025 36747 40830 60750 61245 68050 73494 102075 110241 122490 170125 183735 204150 220482 306225 330723 340250 367470 510375 551205 612450 661446 918675 1020750 1102410 1531125 1653615 1837350 2756025 3062250 3307230 4593375 5512050 8268075 9186750 13780125 16536150 27560250 41340375 82680750