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36514164 = 22317712521
BaseRepresentation
bin1000101101001…
…0100101110100
32112201010000110
42023102211310
533321423124
63342343020
7622236201
oct213224564
975633013
1036514164
111967a6a5
121028aa70
13774601b
144bc6ca8
153314029
hex22d2974

36514164 has 48 divisors (see below), whose sum is σ = 91518336. Its totient is φ = 11289600.

The previous prime is 36514157. The next prime is 36514169. The reversal of 36514164 is 46141563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36514169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13224 + ... + 15744.

It is an arithmetic number, because the mean of its divisors is an integer number (1906632).

Almost surely, 236514164 is an apocalyptic number.

36514164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36514164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45759168).

36514164 is an abundant number, since it is smaller than the sum of its proper divisors (55004172).

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

36514164 is a wasteful number, since it uses less digits than its factorization.

36514164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2614 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 36514164 is about 6042.6950940785. The cubic root of 36514164 is about 331.7572740785.

The spelling of 36514164 in words is "thirty-six million, five hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 2521 3621 4828 5042 7242 7563 10084 14484 15126 30252 42857 85714 128571 171428 178991 257142 357982 514284 536973 715964 1073946 2147892 3042847 6085694 9128541 12171388 18257082 36514164