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36664134 = 23133159257
BaseRepresentation
bin1000101111011…
…1001101000110
32112222201201220
42023313031012
533341223014
63345501210
7623432343
oct213671506
975881656
1036664134
1119772341
1210341806
137799370
144c257ca
1533436a9
hex22f7346

36664134 has 64 divisors (see below), whose sum is σ = 83220480. Its totient is φ = 10690560.

The previous prime is 36664109. The next prime is 36664153. The reversal of 36664134 is 43146663.

It is a junction number, because it is equal to n+sod(n) for n = 36664095 and 36664104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142534 + ... + 142790.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 236664134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36664134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41610240).

36664134 is an abundant number, since it is smaller than the sum of its proper divisors (46556346).

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

36664134 is a wasteful number, since it uses less digits than its factorization.

36664134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its digits is 31104, while the sum is 33.

The square root of 36664134 is about 6055.0915765164. The cubic root of 36664134 is about 332.2108485488.

The spelling of 36664134 in words is "thirty-six million, six hundred sixty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 59 62 78 93 118 177 186 257 354 403 514 767 771 806 1209 1534 1542 1829 2301 2418 3341 3658 4602 5487 6682 7967 10023 10974 15163 15934 20046 23777 23901 30326 45489 47554 47802 71331 90978 103571 142662 197119 207142 310713 394238 470053 591357 621426 940106 1182714 1410159 2820318 6110689 12221378 18332067 36664134