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36530736 = 24311431609
BaseRepresentation
bin1000101101011…
…0101000110000
32112201221202020
42023112220300
533322440421
63342551440
7622335414
oct213265060
975657666
1036530736
11196910a0
1210298580
137750728
144bccd44
153318dc6
hex22d6a30

36530736 has 80 divisors (see below), whose sum is σ = 105409920. Its totient is φ = 10805760.

The previous prime is 36530731. The next prime is 36530743. The reversal of 36530736 is 63703563.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 36530697 and 36530706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36530731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21900 + ... + 23508.

It is an arithmetic number, because the mean of its divisors is an integer number (1317624).

Almost surely, 236530736 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 36530736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704960).

36530736 is an abundant number, since it is smaller than the sum of its proper divisors (68879184).

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

36530736 is a wasteful number, since it uses less digits than its factorization.

36530736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The square root of 36530736 is about 6044.0661809745. The cubic root of 36530736 is about 331.8074559752.

The spelling of 36530736 in words is "thirty-six million, five hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1609 1892 2064 2838 3218 3784 4827 5676 6436 7568 9654 11352 12872 17699 19308 22704 25744 35398 38616 53097 69187 70796 77232 106194 138374 141592 207561 212388 276748 283184 415122 424776 553496 761057 830244 849552 1106992 1522114 1660488 2283171 3044228 3320976 4566342 6088456 9132684 12176912 18265368 36530736