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36045064 = 23113173181
BaseRepresentation
bin1000100110000…
…0000100001000
32111211021112101
42021200010020
533211420224
63324323144
7615243436
oct211400410
974737471
1036045064
111938a210
12100a34b4
137610653
144b03d56
153270044
hex2260108

36045064 has 64 divisors (see below), whose sum is σ = 77575680. Its totient is φ = 15552000.

The previous prime is 36045041. The next prime is 36045073. The reversal of 36045064 is 46054063.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199054 + ... + 199234.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 236045064 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 36045064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787840).

36045064 is an abundant number, since it is smaller than the sum of its proper divisors (41530616).

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

36045064 is a wasteful number, since it uses less digits than its factorization.

36045064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 36045064 is about 6003.7541588576. The cubic root of 36045064 is about 330.3304434129.

It can be divided in two parts, 3604 and 5064, that added together give a palindrome (8668).

The spelling of 36045064 in words is "thirty-six million, forty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 73 88 124 146 181 248 292 341 362 584 682 724 803 1364 1448 1606 1991 2263 2728 3212 3982 4526 5611 6424 7964 9052 11222 13213 15928 18104 22444 24893 26426 44888 49786 52852 61721 99572 105704 123442 145343 199144 246884 290686 409603 493768 581372 819206 1162744 1638412 3276824 4505633 9011266 18022532 36045064