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36839340 = 22335174013
BaseRepresentation
bin1000110010000…
…1111110101100
32120022122002000
42030201332230
533412324330
63353332300
7625062216
oct214417654
976278060
1036839340
1119881a3a
1210407090
13782b035
144c6d5b6
15337a560
hex2321fac

36839340 has 96 divisors (see below), whose sum is σ = 121383360. Its totient is φ = 9243648.

The previous prime is 36839333. The next prime is 36839371. The reversal of 36839340 is 4393863.

36839340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36839295 and 36839304.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7174 + ... + 11186.

It is an arithmetic number, because the mean of its divisors is an integer number (1264410).

Almost surely, 236839340 is an apocalyptic number.

36839340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36839340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60691680).

36839340 is an abundant number, since it is smaller than the sum of its proper divisors (84544020).

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

36839340 is a wasteful number, since it uses less digits than its factorization.

36839340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36839340 is about 6069.5419926054. The cubic root of 36839340 is about 332.7391838105.

The spelling of 36839340 in words is "thirty-six million, eight hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4013 4590 8026 9180 12039 16052 20065 24078 36117 40130 48156 60195 68221 72234 80260 108351 120390 136442 144468 180585 204663 216702 240780 272884 341105 361170 409326 433404 541755 613989 682210 722340 818652 1023315 1083510 1227978 1364420 1841967 2046630 2167020 2455956 3069945 3683934 4093260 6139890 7367868 9209835 12279780 18419670 36839340