Search a number
-
+
36383940 = 223251311543
BaseRepresentation
bin1000101011001…
…0110011000100
32112110111101100
42022302303010
533303241230
63335500100
7621154425
oct212626304
975414340
1036383940
11195a087a
1210227630
1376cb978
144b9164c
1532da660
hex22b2cc4

36383940 has 72 divisors (see below), whose sum is σ = 111279168. Its totient is φ = 9622080.

The previous prime is 36383923. The next prime is 36383983. The reversal of 36383940 is 4938363.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36383895 and 36383904.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22809 + ... + 24351.

It is an arithmetic number, because the mean of its divisors is an integer number (1545544).

Almost surely, 236383940 is an apocalyptic number.

36383940 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 36383940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55639584).

36383940 is an abundant number, since it is smaller than the sum of its proper divisors (74895228).

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

36383940 is a wasteful number, since it uses less digits than its factorization.

36383940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36383940 is about 6031.9101452193. The cubic root of 36383940 is about 331.3624115930.

The spelling of 36383940 in words is "thirty-six million, three hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1543 1572 1965 2358 2620 3086 3930 4629 4716 5895 6172 7715 7860 9258 11790 13887 15430 18516 23145 23580 27774 30860 46290 55548 69435 92580 138870 202133 277740 404266 606399 808532 1010665 1212798 1819197 2021330 2425596 3031995 3638394 4042660 6063990 7276788 9095985 12127980 18191970 36383940