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82696760 = 2355967523
BaseRepresentation
bin1001110110111…
…01101000111000
312202121102121222
410323131220320
5132132244020
612112251212
72022624266
oct473355070
9182542558
1082696760
1142753333
1223840b08
13141959c3
14ada9436
1573d7b25
hex4edda38

82696760 has 64 divisors (see below), whose sum is σ = 192412800. Its totient is φ = 31971456.

The previous prime is 82696751. The next prime is 82696837. The reversal of 82696760 is 6769628.

It is a super-2 number, since 2×826967602 = 13677508228995200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 157859 + ... + 158381.

It is an arithmetic number, because the mean of its divisors is an integer number (3006450).

Almost surely, 282696760 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 82696760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96206400).

82696760 is an abundant number, since it is smaller than the sum of its proper divisors (109716040).

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

82696760 is a wasteful number, since it uses less digits than its factorization.

82696760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 82696760 is about 9093.7758934339. The cubic root of 82696760 is about 435.6751922540.

The spelling of 82696760 in words is "eighty-two million, six hundred ninety-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 67 118 134 236 268 295 335 472 523 536 590 670 1046 1180 1340 2092 2360 2615 2680 3953 4184 5230 7906 10460 15812 19765 20920 30857 31624 35041 39530 61714 70082 79060 123428 140164 154285 158120 175205 246856 280328 308570 350410 617140 700820 1234280 1401640 2067419 4134838 8269676 10337095 16539352 20674190 41348380 82696760