Search a number
-
+
36988380 = 223351113479
BaseRepresentation
bin1000110100011…
…0010111011100
32120121012112000
42031012113130
533432112010
63400442300
7626252562
oct215062734
976535460
1036988380
1119973a10
1210479390
137880b20
144caba32
1533a97c0
hex23465dc

36988380 has 192 divisors, whose sum is σ = 135475200. Its totient is φ = 8259840.

The previous prime is 36988361. The next prime is 36988397. The reversal of 36988380 is 8388963.

36988380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 76981 + ... + 77459.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 236988380 is an apocalyptic number.

36988380 is a gapful number since it is divisible by the number (30) 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 36988380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

36988380 is an abundant number, since it is smaller than the sum of its proper divisors (98486820).

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

36988380 is a wasteful number, since it uses less digits than its factorization.

36988380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 36988380 is about 6081.8072971774. The cubic root of 36988380 is about 333.1872982528.

It can be divided in two parts, 369883 and 80, that added together give a palindrome (369963).

The spelling of 36988380 in words is "thirty-six million, nine hundred eighty-eight thousand, three hundred eighty".