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36120630 = 235713101131
BaseRepresentation
bin1000100111001…
…0100000110110
32111222010012010
42021302200312
533221330010
63330105050
7616006650
oct211624066
974863163
1036120630
1119430a67
121011b186
137638b70
144b236d0
153287620
hex2272836

36120630 has 128 divisors (see below), whose sum is σ = 108573696. Its totient is φ = 7488000.

The previous prime is 36120607. The next prime is 36120641. The reversal of 36120630 is 3602163.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 36120597 and 36120606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275665 + ... + 275795.

It is an arithmetic number, because the mean of its divisors is an integer number (848232).

Almost surely, 236120630 is an apocalyptic number.

36120630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36120630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54286848).

36120630 is an abundant number, since it is smaller than the sum of its proper divisors (72453066).

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

36120630 is a wasteful number, since it uses less digits than its factorization.

36120630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36120630 is about 6010.0440930163. The cubic root of 36120630 is about 330.5611206474.

Adding to 36120630 its reverse (3602163), we get a palindrome (39722793).

The spelling of 36120630 in words is "thirty-six million, one hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 101 105 130 131 182 195 202 210 262 273 303 390 393 455 505 546 606 655 707 786 910 917 1010 1310 1313 1365 1414 1515 1703 1834 1965 2121 2626 2730 2751 3030 3406 3535 3930 3939 4242 4585 5109 5502 6565 7070 7878 8515 9170 9191 10218 10605 11921 13130 13231 13755 17030 18382 19695 21210 23842 25545 26462 27510 27573 35763 39390 39693 45955 51090 55146 59605 66155 71526 79386 91910 92617 119210 132310 137865 172003 178815 185234 198465 275730 277851 344006 357630 396930 463085 516009 555702 860015 926170 1032018 1204021 1389255 1720030 2408042 2580045 2778510 3612063 5160090 6020105 7224126 12040210 18060315 36120630