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36056064 = 210311297
BaseRepresentation
bin1000100110001…
…0110000000000
32111211211121210
42021202300000
533212243224
63324450120
7615320502
oct211426000
974754553
1036056064
1119397500
12100a9940
137615665
144b07d72
153273429
hex2262c00

36056064 has 132 divisors (see below), whose sum is σ = 106722392. Its totient is φ = 10813440.

The previous prime is 36056057. The next prime is 36056107. The reversal of 36056064 is 46065063.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371664 + ... + 371760.

Almost surely, 236056064 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 36056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361196).

36056064 is an abundant number, since it is smaller than the sum of its proper divisors (70666328).

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

36056064 is a wasteful number, since it uses less digits than its factorization.

36056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 36056064 is about 6004.6701824497. The cubic root of 36056064 is about 330.3640426995.

It can be divided in two parts, 3605 and 6064, that added together give a palindrome (9669).

The spelling of 36056064 in words is "thirty-six million, fifty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 121 128 132 176 192 194 242 256 264 291 352 363 384 388 484 512 528 582 704 726 768 776 968 1024 1056 1067 1164 1408 1452 1536 1552 1936 2112 2134 2328 2816 2904 3072 3104 3201 3872 4224 4268 4656 5632 5808 6208 6402 7744 8448 8536 9312 11264 11616 11737 12416 12804 15488 16896 17072 18624 23232 23474 24832 25608 30976 33792 34144 35211 37248 46464 46948 49664 51216 61952 68288 70422 74496 92928 93896 99328 102432 123904 136576 140844 148992 185856 187792 204864 273152 281688 297984 371712 375584 409728 546304 563376 751168 819456 1092608 1126752 1502336 1638912 2253504 3004672 3277824 4507008 6009344 9014016 12018688 18028032 36056064