Search a number
-
+
36027966 = 23131393323
BaseRepresentation
bin1000100101101…
…1111000111110
32111210102002010
42021123320332
533210343331
63324112050
7615142542
oct211337076
974712063
1036027966
1119378387
1210095626
137605930
144adba22
153269e46
hex225be3e

36027966 has 32 divisors (see below), whose sum is σ = 78180480. Its totient is φ = 11002464.

The previous prime is 36027919. The next prime is 36027967. The reversal of 36027966 is 66972063.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36027967) 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, 9181 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (2443140).

Almost surely, 236027966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36027966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39090240).

36027966 is an abundant number, since it is smaller than the sum of its proper divisors (42152514).

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

36027966 is a wasteful number, since it uses less digits than its factorization.

36027966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 36027966 is about 6002.3300475732. The cubic root of 36027966 is about 330.2782043306.

The spelling of 36027966 in words is "thirty-six million, twenty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 139 278 417 834 1807 3323 3614 5421 6646 9969 10842 19938 43199 86398 129597 259194 461897 923794 1385691 2771382 6004661 12009322 18013983 36027966