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82674020 = 2251113137211
BaseRepresentation
bin1001110110110…
…00000101100100
312202120021102202
410323120011210
5132131032040
612111554032
72022501062
oct473300544
9182507382
1082674020
1142738240
122382b918
1314188550
14ada1032
1573d1015
hex4ed8164

82674020 has 96 divisors (see below), whose sum is σ = 206430336. Its totient is φ = 27417600.

The previous prime is 82674019. The next prime is 82674023. The reversal of 82674020 is 2047628.

It is not an unprimeable number, because it can be changed into a prime (82674023) 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, 391715 + ... + 391925.

It is an arithmetic number, because the mean of its divisors is an integer number (2150316).

Almost surely, 282674020 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 82674020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103215168).

82674020 is an abundant number, since it is smaller than the sum of its proper divisors (123756316).

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

82674020 is a wasteful number, since it uses less digits than its factorization.

82674020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 82674020 is about 9092.5255017514. The cubic root of 82674020 is about 435.6352545261.

The spelling of 82674020 in words is "eighty-two million, six hundred seventy-four thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 137 143 211 220 260 274 286 422 548 572 685 715 844 1055 1370 1430 1507 1781 2110 2321 2740 2743 2860 3014 3562 4220 4642 5486 6028 7124 7535 8905 9284 10972 11605 13715 15070 17810 19591 23210 27430 28907 30140 30173 35620 39182 46420 54860 57814 60346 78364 97955 115628 120692 144535 150865 195910 289070 301730 317977 375791 391820 578140 603460 635954 751582 1271908 1503164 1589885 1878955 3179770 3757910 4133701 6359540 7515820 8267402 16534804 20668505 41337010 82674020