Search a number
-
+
36666546 = 23741107199
BaseRepresentation
bin1000101111011…
…1110010110010
32112222212001020
42023313302302
533341312141
63345520310
7623442360
oct213676262
975885036
1036666546
1119774134
1210343096
13779a4a7
144c26630
153344266
hex22f7cb2

36666546 has 64 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 10074240.

The previous prime is 36666541. The next prime is 36666547. The reversal of 36666546 is 64566663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36666498 and 36666507.

It is not an unprimeable number, because it can be changed into a prime (36666541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184155 + ... + 184353.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 236666546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36666546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

36666546 is an abundant number, since it is smaller than the sum of its proper divisors (50424654).

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

36666546 is a wasteful number, since it uses less digits than its factorization.

36666546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its digits is 466560, while the sum is 42.

The square root of 36666546 is about 6055.2907444647. The cubic root of 36666546 is about 332.2181333702.

The spelling of 36666546 in words is "thirty-six million, six hundred sixty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 14 21 41 42 82 107 123 199 214 246 287 321 398 574 597 642 749 861 1194 1393 1498 1722 2247 2786 4179 4387 4494 8159 8358 8774 13161 16318 21293 24477 26322 30709 42586 48954 57113 61418 63879 92127 114226 127758 149051 171339 184254 298102 342678 447153 873013 894306 1746026 2619039 5238078 6111091 12222182 18333273 36666546