Search a number
-
+
36114780 = 22351346301
BaseRepresentation
bin1000100111000…
…1000101011100
32111221211011110
42021301011130
533221133110
63330022020
7615653622
oct211610534
974854143
1036114780
1119427629
1210117910
1376362c0
144b21512
153285a20
hex227115c

36114780 has 48 divisors (see below), whose sum is σ = 108902304. Its totient is φ = 8889600.

The previous prime is 36114751. The next prime is 36114781. The reversal of 36114780 is 8741163.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36114781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22371 + ... + 23930.

It is an arithmetic number, because the mean of its divisors is an integer number (2268798).

Almost surely, 236114780 is an apocalyptic number.

36114780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36114780 is an abundant number, since it is smaller than the sum of its proper divisors (72787524).

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

36114780 is a wasteful number, since it uses less digits than its factorization.

36114780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46326 (or 46324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 36114780 is about 6009.5573880278. The cubic root of 36114780 is about 330.5432740875.

The spelling of 36114780 in words is "thirty-six million, one hundred fourteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 46301 92602 138903 185204 231505 277806 463010 555612 601913 694515 926020 1203826 1389030 1805739 2407652 2778060 3009565 3611478 6019130 7222956 9028695 12038260 18057390 36114780