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36836064 = 2532236783
BaseRepresentation
bin1000110010000…
…1001011100000
32120022110120200
42030201023200
533412223224
63353305200
7625046526
oct214411340
976273520
1036836064
111987a531
1210405200
1378296b5
144c6c316
1533795c9
hex23212e0

36836064 has 144 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 11430144.

The previous prime is 36836057. The next prime is 36836077. The reversal of 36836064 is 46063863.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×368360642 = 2713791222024192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443767 + ... + 443849.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 236836064 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 36836064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).

36836064 is an abundant number, since it is smaller than the sum of its proper divisors (75439008).

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

36836064 is a wasteful number, since it uses less digits than its factorization.

36836064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36836064 is about 6069.2721145126. The cubic root of 36836064 is about 332.7293203884.

The spelling of 36836064 in words is "thirty-six million, eight hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 67 69 72 83 92 96 134 138 144 166 184 201 207 249 268 276 288 332 368 402 414 498 536 552 603 664 736 747 804 828 996 1072 1104 1206 1328 1494 1541 1608 1656 1909 1992 2144 2208 2412 2656 2988 3082 3216 3312 3818 3984 4623 4824 5561 5727 5976 6164 6432 6624 7636 7968 9246 9648 11122 11454 11952 12328 13869 15272 16683 17181 18492 19296 22244 22908 23904 24656 27738 30544 33366 34362 36984 44488 45816 49312 50049 55476 61088 66732 68724 73968 88976 91632 100098 110952 127903 133464 137448 147936 177952 183264 200196 221904 255806 266928 274896 383709 400392 443808 511612 533856 549792 767418 800784 1023224 1151127 1534836 1601568 2046448 2302254 3069672 4092896 4604508 6139344 9209016 12278688 18418032 36836064