Search a number
-
+
36689436 = 2234722311
BaseRepresentation
bin1000101111110…
…1011000011100
32120001000110000
42023331120130
533343030221
63350214300
7623566200
oct213753034
976030400
1036689436
111978a353
1210354390
1377a7a34
144c30b00
15334ae26
hex22fd61c

36689436 has 90 divisors (see below), whose sum is σ = 111621048. Its totient is φ = 10478160.

The previous prime is 36689413. The next prime is 36689447. The reversal of 36689436 is 63498663.

It is a super-2 number, since 2×366894362 = 2692229427996192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36689391 and 36689400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14721 + ... + 17031.

Almost surely, 236689436 is an apocalyptic number.

36689436 is a gapful number since it is divisible by the number (36) 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 36689436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55810524).

36689436 is an abundant number, since it is smaller than the sum of its proper divisors (74931612).

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

36689436 is a wasteful number, since it uses less digits than its factorization.

36689436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2323 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 36689436 is about 6057.1805322278. The cubic root of 36689436 is about 332.2872507903.

The spelling of 36689436 in words is "thirty-six million, six hundred eighty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2311 2646 3969 4622 5292 6933 7938 9244 13866 15876 16177 20799 27732 32354 41598 48531 62397 64708 83196 97062 113239 124794 145593 187191 194124 226478 249588 291186 339717 374382 436779 452956 582372 679434 748764 873558 1019151 1310337 1358868 1747116 2038302 2620674 3057453 4076604 5241348 6114906 9172359 12229812 18344718 36689436