Search a number
-
+
36916968 = 23311139837
BaseRepresentation
bin1000110011010…
…0111011101000
32120110120120010
42030310323220
533422320333
63355131520
7625534434
oct214647350
976416503
1036916968
11199252a0
1210443ba0
13785747a
144c8d9c4
153393563
hex2334ee8

36916968 has 32 divisors (see below), whose sum is σ = 100683360. Its totient is φ = 11186880.

The previous prime is 36916963. The next prime is 36916973. The reversal of 36916968 is 86961963.

36916968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36916963) and next prime (36916973).

It is not an unprimeable number, because it can be changed into a prime (36916963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69655 + ... + 70182.

It is an arithmetic number, because the mean of its divisors is an integer number (3146355).

Almost surely, 236916968 is an apocalyptic number.

It is an amenable number.

36916968 is an abundant number, since it is smaller than the sum of its proper divisors (63766392).

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

36916968 is a wasteful number, since it uses less digits than its factorization.

36916968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139857 (or 139853 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 36916968 is about 6075.9335085236. The cubic root of 36916968 is about 332.9727362722.

The spelling of 36916968 in words is "thirty-six million, nine hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 139837 279674 419511 559348 839022 1118696 1538207 1678044 3076414 3356088 4614621 6152828 9229242 12305656 18458484 36916968