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36125340 = 223517107331
BaseRepresentation
bin1000100111001…
…1101010011100
32111222100122120
42021303222130
533222002330
63330142540
7616026456
oct211635234
974870576
1036125340
1119434559
1210121a50
13763b054
144b252d6
153288c10
hex2273a9c

36125340 has 96 divisors (see below), whose sum is σ = 108428544. Its totient is φ = 8954880.

The previous prime is 36125317. The next prime is 36125399. The reversal of 36125340 is 4352163.

Added to its reverse (4352163) it gives a triangular number (40477503 = T8997).

It is a happy number.

36125340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36125340.

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, 108975 + ... + 109305.

It is an arithmetic number, because the mean of its divisors is an integer number (1129464).

Almost surely, 236125340 is an apocalyptic number.

36125340 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 36125340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214272).

36125340 is an abundant number, since it is smaller than the sum of its proper divisors (72303204).

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

36125340 is a wasteful number, since it uses less digits than its factorization.

36125340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36125340 is about 6010.4359242904. The cubic root of 36125340 is about 330.5754880160.

Adding to 36125340 its reverse (4352163), we get a triangular number (40477503 = T8997).

The spelling of 36125340 in words is "thirty-six million, one hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 107 170 204 214 255 321 331 340 428 510 535 642 662 993 1020 1070 1284 1324 1605 1655 1819 1986 2140 3210 3310 3638 3972 4965 5457 5627 6420 6620 7276 9095 9930 10914 11254 16881 18190 19860 21828 22508 27285 28135 33762 35417 36380 54570 56270 67524 70834 84405 106251 109140 112540 141668 168810 177085 212502 337620 354170 425004 531255 602089 708340 1062510 1204178 1806267 2125020 2408356 3010445 3612534 6020890 7225068 9031335 12041780 18062670 36125340